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Finding the Fourth Proportional to 57,842.87, 86,607.78 and 37,802.43

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Solution

The fourth proportional to 57,842.87, 86,607.78 and 37,802.43 is: 56,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.87 : 86,607.78 = 37,802.43 : x
  2. Step 2: Convert to fraction form
    57,842.87/86,607.78 = 37,802.43/x
  3. Step 3: Cross multiply
    57,842.87x = 86,607.78 × 37,802.43
  4. Step 4: Simplify right side
    57,842.87x = 3,273,984,399.15
  5. Step 5: Solve for x
    x = 3,273,984,399.15/57,842.87
  6. Step 6: Final answer
    x = 56,601.35

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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.