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Finding the Fourth Proportional to 52,134.24, 71,951.04 and 29,778.24

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Solution

The fourth proportional to 52,134.24, 71,951.04 and 29,778.24 is: 41,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134.24 : 71,951.04 = 29,778.24 : x
  2. Step 2: Convert to fraction form
    52,134.24/71,951.04 = 29,778.24/x
  3. Step 3: Cross multiply
    52,134.24x = 71,951.04 × 29,778.24
  4. Step 4: Simplify right side
    52,134.24x = 2,142,575,337.37
  5. Step 5: Solve for x
    x = 2,142,575,337.37/52,134.24
  6. Step 6: Final answer
    x = 41,097.28

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1.5x scale

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.