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Finding the Fourth Proportional to 97,306.38, 134,282.75 and 52,594.38

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Solution

The fourth proportional to 97,306.38, 134,282.75 and 52,594.38 is: 72,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,306.38 : 134,282.75 = 52,594.38 : x
  2. Step 2: Convert to fraction form
    97,306.38/134,282.75 = 52,594.38/x
  3. Step 3: Cross multiply
    97,306.38x = 134,282.75 × 52,594.38
  4. Step 4: Simplify right side
    97,306.38x = 7,062,517,717.97
  5. Step 5: Solve for x
    x = 7,062,517,717.97/97,306.38
  6. Step 6: Final answer
    x = 72,580.21

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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.