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Finding the Fourth Proportional to 57,232.66, 78,983.63 and 31,737.31

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Solution

The fourth proportional to 57,232.66, 78,983.63 and 31,737.31 is: 43,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,232.66 : 78,983.63 = 31,737.31 : x
  2. Step 2: Convert to fraction form
    57,232.66/78,983.63 = 31,737.31/x
  3. Step 3: Cross multiply
    57,232.66x = 78,983.63 × 31,737.31
  4. Step 4: Simplify right side
    57,232.66x = 2,506,727,950.24
  5. Step 5: Solve for x
    x = 2,506,727,950.24/57,232.66
  6. Step 6: Final answer
    x = 43,798.91

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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.