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Finding the Fourth Proportional to 37,545.92, 51,812.88 and 20,550

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Solution

The fourth proportional to 37,545.92, 51,812.88 and 20,550 is: 28,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545.92 : 51,812.88 = 20,550 : x
  2. Step 2: Convert to fraction form
    37,545.92/51,812.88 = 20,550/x
  3. Step 3: Cross multiply
    37,545.92x = 51,812.88 × 20,550
  4. Step 4: Simplify right side
    37,545.92x = 1,064,754,684
  5. Step 5: Solve for x
    x = 1,064,754,684/37,545.92
  6. Step 6: Final answer
    x = 28,358.74

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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.