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Finding the Fourth Proportional to 91,167.84, 125,805.42 and 52,407

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Solution

The fourth proportional to 91,167.84, 125,805.42 and 52,407 is: 72,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,167.84 : 125,805.42 = 52,407 : x
  2. Step 2: Convert to fraction form
    91,167.84/125,805.42 = 52,407/x
  3. Step 3: Cross multiply
    91,167.84x = 125,805.42 × 52,407
  4. Step 4: Simplify right side
    91,167.84x = 6,593,084,645.94
  5. Step 5: Solve for x
    x = 6,593,084,645.94/91,167.84
  6. Step 6: Final answer
    x = 72,318.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.