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Finding the Fourth Proportional to 52,753.65, 72,788.41 and 31,232.71

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Solution

The fourth proportional to 52,753.65, 72,788.41 and 31,232.71 is: 43,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,753.65 : 72,788.41 = 31,232.71 : x
  2. Step 2: Convert to fraction form
    52,753.65/72,788.41 = 31,232.71/x
  3. Step 3: Cross multiply
    52,753.65x = 72,788.41 × 31,232.71
  4. Step 4: Simplify right side
    52,753.65x = 2,273,379,430.92
  5. Step 5: Solve for x
    x = 2,273,379,430.92/52,753.65
  6. Step 6: Final answer
    x = 43,094.26

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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.