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Finding the Fourth Proportional to 57,230.48, 78,975.87 and 31,737.89

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Solution

The fourth proportional to 57,230.48, 78,975.87 and 31,737.89 is: 43,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.48 : 78,975.87 = 31,737.89 : x
  2. Step 2: Convert to fraction form
    57,230.48/78,975.87 = 31,737.89/x
  3. Step 3: Cross multiply
    57,230.48x = 78,975.87 × 31,737.89
  4. Step 4: Simplify right side
    57,230.48x = 2,506,527,474.71
  5. Step 5: Solve for x
    x = 2,506,527,474.71/57,230.48
  6. Step 6: Final answer
    x = 43,797.07

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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.