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Finding the Fourth Proportional to 47,728.35, 65,834.87 and 29,323.40

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Solution

The fourth proportional to 47,728.35, 65,834.87 and 29,323.40 is: 40,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.35 : 65,834.87 = 29,323.40 : x
  2. Step 2: Convert to fraction form
    47,728.35/65,834.87 = 29,323.40/x
  3. Step 3: Cross multiply
    47,728.35x = 65,834.87 × 29,323.40
  4. Step 4: Simplify right side
    47,728.35x = 1,930,501,751.17
  5. Step 5: Solve for x
    x = 1,930,501,751.17/47,728.35
  6. Step 6: Final answer
    x = 40,447.70

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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.