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Finding the Fourth Proportional to 97,209.52, 134,149.12 and 52,497.52

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Solution

The fourth proportional to 97,209.52, 134,149.12 and 52,497.52 is: 72,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,209.52 : 134,149.12 = 52,497.52 : x
  2. Step 2: Convert to fraction form
    97,209.52/134,149.12 = 52,497.52/x
  3. Step 3: Cross multiply
    97,209.52x = 134,149.12 × 52,497.52
  4. Step 4: Simplify right side
    97,209.52x = 7,042,496,110.18
  5. Step 5: Solve for x
    x = 7,042,496,110.18/97,209.52
  6. Step 6: Final answer
    x = 72,446.57

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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.