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Finding the Fourth Proportional to 47,552.52, 65,639.72 and 27,680.52

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Solution

The fourth proportional to 47,552.52, 65,639.72 and 27,680.52 is: 38,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,552.52 : 65,639.72 = 27,680.52 : x
  2. Step 2: Convert to fraction form
    47,552.52/65,639.72 = 27,680.52/x
  3. Step 3: Cross multiply
    47,552.52x = 65,639.72 × 27,680.52
  4. Step 4: Simplify right side
    47,552.52x = 1,816,941,582.25
  5. Step 5: Solve for x
    x = 1,816,941,582.25/47,552.52
  6. Step 6: Final answer
    x = 38,209.15

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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.