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Finding the Fourth Proportional to 73,584, 101,545.92 and 40,050

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Solution

The fourth proportional to 73,584, 101,545.92 and 40,050 is: 55,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 101,545.92 = 40,050 : x
  2. Step 2: Convert to fraction form
    73,584/101,545.92 = 40,050/x
  3. Step 3: Cross multiply
    73,584x = 101,545.92 × 40,050
  4. Step 4: Simplify right side
    73,584x = 4,066,914,096
  5. Step 5: Solve for x
    x = 4,066,914,096/73,584
  6. Step 6: Final answer
    x = 55,269

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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.