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Finding the Fourth Proportional to 91,697.32, 137,516.70 and 29,353

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Solution

The fourth proportional to 91,697.32, 137,516.70 and 29,353 is: 44,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,697.32 : 137,516.70 = 29,353 : x
  2. Step 2: Convert to fraction form
    91,697.32/137,516.70 = 29,353/x
  3. Step 3: Cross multiply
    91,697.32x = 137,516.70 × 29,353
  4. Step 4: Simplify right side
    91,697.32x = 4,036,527,695.10
  5. Step 5: Solve for x
    x = 4,036,527,695.10/91,697.32
  6. Step 6: Final answer
    x = 44,020.13

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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.