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Finding the Fourth Proportional to 37,439.96, 56,158.85 and 9,737.96

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Solution

The fourth proportional to 37,439.96, 56,158.85 and 9,737.96 is: 14,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439.96 : 56,158.85 = 9,737.96 : x
  2. Step 2: Convert to fraction form
    37,439.96/56,158.85 = 9,737.96/x
  3. Step 3: Cross multiply
    37,439.96x = 56,158.85 × 9,737.96
  4. Step 4: Simplify right side
    37,439.96x = 546,872,378.50
  5. Step 5: Solve for x
    x = 546,872,378.50/37,439.96
  6. Step 6: Final answer
    x = 14,606.65

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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.