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Finding the Fourth Proportional to 47,981.48, 66,197.07 and 27,827.28

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Solution

The fourth proportional to 47,981.48, 66,197.07 and 27,827.28 is: 38,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981.48 : 66,197.07 = 27,827.28 : x
  2. Step 2: Convert to fraction form
    47,981.48/66,197.07 = 27,827.28/x
  3. Step 3: Cross multiply
    47,981.48x = 66,197.07 × 27,827.28
  4. Step 4: Simplify right side
    47,981.48x = 1,842,084,402.07
  5. Step 5: Solve for x
    x = 1,842,084,402.07/47,981.48
  6. Step 6: Final answer
    x = 38,391.58

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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.