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Finding the Fourth Proportional to 37,966.50, 56,949.84 and 10,264.50

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Solution

The fourth proportional to 37,966.50, 56,949.84 and 10,264.50 is: 15,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966.50 : 56,949.84 = 10,264.50 : x
  2. Step 2: Convert to fraction form
    37,966.50/56,949.84 = 10,264.50/x
  3. Step 3: Cross multiply
    37,966.50x = 56,949.84 × 10,264.50
  4. Step 4: Simplify right side
    37,966.50x = 584,561,632.68
  5. Step 5: Solve for x
    x = 584,561,632.68/37,966.50
  6. Step 6: Final answer
    x = 15,396.77

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