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Finding the Fourth Proportional to 48,065.67, 66,330.25 and 27,934.34

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Solution

The fourth proportional to 48,065.67, 66,330.25 and 27,934.34 is: 38,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,065.67 : 66,330.25 = 27,934.34 : x
  2. Step 2: Convert to fraction form
    48,065.67/66,330.25 = 27,934.34/x
  3. Step 3: Cross multiply
    48,065.67x = 66,330.25 × 27,934.34
  4. Step 4: Simplify right side
    48,065.67x = 1,852,891,354.30
  5. Step 5: Solve for x
    x = 1,852,891,354.30/48,065.67
  6. Step 6: Final answer
    x = 38,549.16

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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.