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Finding the Fourth Proportional to 91,029, 136,543.32 and 24,469.14

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Solution

The fourth proportional to 91,029, 136,543.32 and 24,469.14 is: 36,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,029 : 136,543.32 = 24,469.14 : x
  2. Step 2: Convert to fraction form
    91,029/136,543.32 = 24,469.14/x
  3. Step 3: Cross multiply
    91,029x = 136,543.32 × 24,469.14
  4. Step 4: Simplify right side
    91,029x = 3,341,097,613.14
  5. Step 5: Solve for x
    x = 3,341,097,613.14/91,029
  6. Step 6: Final answer
    x = 36,703.66

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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.