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Finding the Fourth Proportional to 47,689.91, 65,796.85 and 27,544.13

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Solution

The fourth proportional to 47,689.91, 65,796.85 and 27,544.13 is: 38,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,689.91 : 65,796.85 = 27,544.13 : x
  2. Step 2: Convert to fraction form
    47,689.91/65,796.85 = 27,544.13/x
  3. Step 3: Cross multiply
    47,689.91x = 65,796.85 × 27,544.13
  4. Step 4: Simplify right side
    47,689.91x = 1,812,316,523.29
  5. Step 5: Solve for x
    x = 1,812,316,523.29/47,689.91
  6. Step 6: Final answer
    x = 38,002.10

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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.