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Finding the Fourth Proportional to 71,505.84, 107,192.54 and 26,502.14

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Solution

The fourth proportional to 71,505.84, 107,192.54 and 26,502.14 is: 39,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,505.84 : 107,192.54 = 26,502.14 : x
  2. Step 2: Convert to fraction form
    71,505.84/107,192.54 = 26,502.14/x
  3. Step 3: Cross multiply
    71,505.84x = 107,192.54 × 26,502.14
  4. Step 4: Simplify right side
    71,505.84x = 2,840,831,033.56
  5. Step 5: Solve for x
    x = 2,840,831,033.56/71,505.84
  6. Step 6: Final answer
    x = 39,728.66

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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.