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Finding the Fourth Proportional to 27,061.20, 40,608 and 9,545.76

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Solution

The fourth proportional to 27,061.20, 40,608 and 9,545.76 is: 14,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061.20 : 40,608 = 9,545.76 : x
  2. Step 2: Convert to fraction form
    27,061.20/40,608 = 9,545.76/x
  3. Step 3: Cross multiply
    27,061.20x = 40,608 × 9,545.76
  4. Step 4: Simplify right side
    27,061.20x = 387,634,222.08
  5. Step 5: Solve for x
    x = 387,634,222.08/27,061.20
  6. Step 6: Final answer
    x = 14,324.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.