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Finding the Fourth Proportional to 47,874.88, 66,070.92 and 27,737.20

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Solution

The fourth proportional to 47,874.88, 66,070.92 and 27,737.20 is: 38,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.88 : 66,070.92 = 27,737.20 : x
  2. Step 2: Convert to fraction form
    47,874.88/66,070.92 = 27,737.20/x
  3. Step 3: Cross multiply
    47,874.88x = 66,070.92 × 27,737.20
  4. Step 4: Simplify right side
    47,874.88x = 1,832,622,322.22
  5. Step 5: Solve for x
    x = 1,832,622,322.22/47,874.88
  6. Step 6: Final answer
    x = 38,279.41

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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.