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Finding the Fourth Proportional to 47,981.67, 66,209.19 and 27,831.20

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Solution

The fourth proportional to 47,981.67, 66,209.19 and 27,831.20 is: 38,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981.67 : 66,209.19 = 27,831.20 : x
  2. Step 2: Convert to fraction form
    47,981.67/66,209.19 = 27,831.20/x
  3. Step 3: Cross multiply
    47,981.67x = 66,209.19 × 27,831.20
  4. Step 4: Simplify right side
    47,981.67x = 1,842,680,877.68
  5. Step 5: Solve for x
    x = 1,842,680,877.68/47,981.67
  6. Step 6: Final answer
    x = 38,403.85

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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.