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Finding the Fourth Proportional to 37,489.90, 56,234.31 and 9,787.90

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Solution

The fourth proportional to 37,489.90, 56,234.31 and 9,787.90 is: 14,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489.90 : 56,234.31 = 9,787.90 : x
  2. Step 2: Convert to fraction form
    37,489.90/56,234.31 = 9,787.90/x
  3. Step 3: Cross multiply
    37,489.90x = 56,234.31 × 9,787.90
  4. Step 4: Simplify right side
    37,489.90x = 550,415,802.85
  5. Step 5: Solve for x
    x = 550,415,802.85/37,489.90
  6. Step 6: Final answer
    x = 14,681.71

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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.