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Finding the Fourth Proportional to 42,364.81, 58,464.57 and 23,245.48

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Solution

The fourth proportional to 42,364.81, 58,464.57 and 23,245.48 is: 32,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364.81 : 58,464.57 = 23,245.48 : x
  2. Step 2: Convert to fraction form
    42,364.81/58,464.57 = 23,245.48/x
  3. Step 3: Cross multiply
    42,364.81x = 58,464.57 × 23,245.48
  4. Step 4: Simplify right side
    42,364.81x = 1,359,036,992.64
  5. Step 5: Solve for x
    x = 1,359,036,992.64/42,364.81
  6. Step 6: Final answer
    x = 32,079.38

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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.