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Finding the Fourth Proportional to 47,980.03, 66,191.03 and 27,825.24

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Solution

The fourth proportional to 47,980.03, 66,191.03 and 27,825.24 is: 38,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.03 : 66,191.03 = 27,825.24 : x
  2. Step 2: Convert to fraction form
    47,980.03/66,191.03 = 27,825.24/x
  3. Step 3: Cross multiply
    47,980.03x = 66,191.03 × 27,825.24
  4. Step 4: Simplify right side
    47,980.03x = 1,841,781,214.97
  5. Step 5: Solve for x
    x = 1,841,781,214.97/47,980.03
  6. Step 6: Final answer
    x = 38,386.41

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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.