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Finding the Fourth Proportional to 97,496.64, 145,932.48 and 52,454.88

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Solution

The fourth proportional to 97,496.64, 145,932.48 and 52,454.88 is: 78,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496.64 : 145,932.48 = 52,454.88 : x
  2. Step 2: Convert to fraction form
    97,496.64/145,932.48 = 52,454.88/x
  3. Step 3: Cross multiply
    97,496.64x = 145,932.48 × 52,454.88
  4. Step 4: Simplify right side
    97,496.64x = 7,654,870,726.50
  5. Step 5: Solve for x
    x = 7,654,870,726.50/97,496.64
  6. Step 6: Final answer
    x = 78,514.20

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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.