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Finding the Fourth Proportional to 47,447.32, 71,210.88 and 23,747.76

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Solution

The fourth proportional to 47,447.32, 71,210.88 and 23,747.76 is: 35,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,447.32 : 71,210.88 = 23,747.76 : x
  2. Step 2: Convert to fraction form
    47,447.32/71,210.88 = 23,747.76/x
  3. Step 3: Cross multiply
    47,447.32x = 71,210.88 × 23,747.76
  4. Step 4: Simplify right side
    47,447.32x = 1,691,098,887.63
  5. Step 5: Solve for x
    x = 1,691,098,887.63/47,447.32
  6. Step 6: Final answer
    x = 35,641.61

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1.5x scale

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.