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Finding the Fourth Proportional to 72,572.38, 100,154.81 and 54,638.98

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Solution

The fourth proportional to 72,572.38, 100,154.81 and 54,638.98 is: 75,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,572.38 : 100,154.81 = 54,638.98 : x
  2. Step 2: Convert to fraction form
    72,572.38/100,154.81 = 54,638.98/x
  3. Step 3: Cross multiply
    72,572.38x = 100,154.81 × 54,638.98
  4. Step 4: Simplify right side
    72,572.38x = 5,472,356,717.39
  5. Step 5: Solve for x
    x = 5,472,356,717.39/72,572.38
  6. Step 6: Final answer
    x = 75,405.50

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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.