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Finding the Fourth Proportional to 48,089.19, 66,351.71 and 27,934.10

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Solution

The fourth proportional to 48,089.19, 66,351.71 and 27,934.10 is: 38,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,089.19 : 66,351.71 = 27,934.10 : x
  2. Step 2: Convert to fraction form
    48,089.19/66,351.71 = 27,934.10/x
  3. Step 3: Cross multiply
    48,089.19x = 66,351.71 × 27,934.10
  4. Step 4: Simplify right side
    48,089.19x = 1,853,475,302.31
  5. Step 5: Solve for x
    x = 1,853,475,302.31/48,089.19
  6. Step 6: Final answer
    x = 38,542.45

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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.