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Finding the Fourth Proportional to 42,041,872.32, 58,019,771.52 and 23,706,764.16

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Solution

The fourth proportional to 42,041,872.32, 58,019,771.52 and 23,706,764.16 is: 32,716,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,041,872.32 : 58,019,771.52 = 23,706,764.16 : x
  2. Step 2: Convert to fraction form
    42,041,872.32/58,019,771.52 = 23,706,764.16/x
  3. Step 3: Cross multiply
    42,041,872.32x = 58,019,771.52 × 23,706,764.16
  4. Step 4: Simplify right side
    42,041,872.32x = 1,375,461,040,041,724.75
  5. Step 5: Solve for x
    x = 1,375,461,040,041,724.75/42,041,872.32
  6. Step 6: Final answer
    x = 32,716,455.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.