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Finding the Fourth Proportional to 48,853, 67,417.14 and 27,631.81

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Solution

The fourth proportional to 48,853, 67,417.14 and 27,631.81 is: 38,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,853 : 67,417.14 = 27,631.81 : x
  2. Step 2: Convert to fraction form
    48,853/67,417.14 = 27,631.81/x
  3. Step 3: Cross multiply
    48,853x = 67,417.14 × 27,631.81
  4. Step 4: Simplify right side
    48,853x = 1,862,857,603.22
  5. Step 5: Solve for x
    x = 1,862,857,603.22/48,853
  6. Step 6: Final answer
    x = 38,131.90

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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.