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Finding the Fourth Proportional to 47,149.92, 65,068.47 and 27,013.32

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Solution

The fourth proportional to 47,149.92, 65,068.47 and 27,013.32 is: 37,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149.92 : 65,068.47 = 27,013.32 : x
  2. Step 2: Convert to fraction form
    47,149.92/65,068.47 = 27,013.32/x
  3. Step 3: Cross multiply
    47,149.92x = 65,068.47 × 27,013.32
  4. Step 4: Simplify right side
    47,149.92x = 1,757,715,402.02
  5. Step 5: Solve for x
    x = 1,757,715,402.02/47,149.92
  6. Step 6: Final answer
    x = 37,279.29

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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.