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Finding the Fourth Proportional to 47,755.90, 65,882.72 and 29,838.70

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Solution

The fourth proportional to 47,755.90, 65,882.72 and 29,838.70 is: 41,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.90 : 65,882.72 = 29,838.70 : x
  2. Step 2: Convert to fraction form
    47,755.90/65,882.72 = 29,838.70/x
  3. Step 3: Cross multiply
    47,755.90x = 65,882.72 × 29,838.70
  4. Step 4: Simplify right side
    47,755.90x = 1,965,854,717.26
  5. Step 5: Solve for x
    x = 1,965,854,717.26/47,755.90
  6. Step 6: Final answer
    x = 41,164.65

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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.