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Finding the Fourth Proportional to 37,489.67, 56,233.29 and 9,787.67

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Solution

The fourth proportional to 37,489.67, 56,233.29 and 9,787.67 is: 14,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489.67 : 56,233.29 = 9,787.67 : x
  2. Step 2: Convert to fraction form
    37,489.67/56,233.29 = 9,787.67/x
  3. Step 3: Cross multiply
    37,489.67x = 56,233.29 × 9,787.67
  4. Step 4: Simplify right side
    37,489.67x = 550,392,885.53
  5. Step 5: Solve for x
    x = 550,392,885.53/37,489.67
  6. Step 6: Final answer
    x = 14,681.19

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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.