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Finding the Fourth Proportional to 37,711.20, 56,437.20 and 26,047.20

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Solution

The fourth proportional to 37,711.20, 56,437.20 and 26,047.20 is: 38,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711.20 : 56,437.20 = 26,047.20 : x
  2. Step 2: Convert to fraction form
    37,711.20/56,437.20 = 26,047.20/x
  3. Step 3: Cross multiply
    37,711.20x = 56,437.20 × 26,047.20
  4. Step 4: Simplify right side
    37,711.20x = 1,470,031,035.84
  5. Step 5: Solve for x
    x = 1,470,031,035.84/37,711.20
  6. Step 6: Final answer
    x = 38,981.29

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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.