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Finding the Fourth Proportional to 65,354.85, 90,193.10 and 38,505.78

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Solution

The fourth proportional to 65,354.85, 90,193.10 and 38,505.78 is: 53,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.85 : 90,193.10 = 38,505.78 : x
  2. Step 2: Convert to fraction form
    65,354.85/90,193.10 = 38,505.78/x
  3. Step 3: Cross multiply
    65,354.85x = 90,193.10 × 38,505.78
  4. Step 4: Simplify right side
    65,354.85x = 3,472,955,473.59
  5. Step 5: Solve for x
    x = 3,472,955,473.59/65,354.85
  6. Step 6: Final answer
    x = 53,139.98

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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.