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Finding the Fourth Proportional to 37,629.87, 56,444.88 and 9,549.87

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Solution

The fourth proportional to 37,629.87, 56,444.88 and 9,549.87 is: 14,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,629.87 : 56,444.88 = 9,549.87 : x
  2. Step 2: Convert to fraction form
    37,629.87/56,444.88 = 9,549.87/x
  3. Step 3: Cross multiply
    37,629.87x = 56,444.88 × 9,549.87
  4. Step 4: Simplify right side
    37,629.87x = 539,041,266.17
  5. Step 5: Solve for x
    x = 539,041,266.17/37,629.87
  6. Step 6: Final answer
    x = 14,324.82

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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.