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Finding the Fourth Proportional to 57,600, 86,434.02 and 24,317.91

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Solution

The fourth proportional to 57,600, 86,434.02 and 24,317.91 is: 36,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600 : 86,434.02 = 24,317.91 : x
  2. Step 2: Convert to fraction form
    57,600/86,434.02 = 24,317.91/x
  3. Step 3: Cross multiply
    57,600x = 86,434.02 × 24,317.91
  4. Step 4: Simplify right side
    57,600x = 2,101,894,719.30
  5. Step 5: Solve for x
    x = 2,101,894,719.30/57,600
  6. Step 6: Final answer
    x = 36,491.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.