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Finding the Fourth Proportional to 42,536.75, 58,697.19 and 24,632.91

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Solution

The fourth proportional to 42,536.75, 58,697.19 and 24,632.91 is: 33,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,536.75 : 58,697.19 = 24,632.91 : x
  2. Step 2: Convert to fraction form
    42,536.75/58,697.19 = 24,632.91/x
  3. Step 3: Cross multiply
    42,536.75x = 58,697.19 × 24,632.91
  4. Step 4: Simplify right side
    42,536.75x = 1,445,882,598.52
  5. Step 5: Solve for x
    x = 1,445,882,598.52/42,536.75
  6. Step 6: Final answer
    x = 33,991.38

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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.