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Finding the Fourth Proportional to 34,244.91, 47,218.82 and 27,854.01

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Solution

The fourth proportional to 34,244.91, 47,218.82 and 27,854.01 is: 38,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,244.91 : 47,218.82 = 27,854.01 : x
  2. Step 2: Convert to fraction form
    34,244.91/47,218.82 = 27,854.01/x
  3. Step 3: Cross multiply
    34,244.91x = 47,218.82 × 27,854.01
  4. Step 4: Simplify right side
    34,244.91x = 1,315,233,345.20
  5. Step 5: Solve for x
    x = 1,315,233,345.20/34,244.91
  6. Step 6: Final answer
    x = 38,406.68

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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.