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Finding the Fourth Proportional to 47,830.60, 65,996.22 and 27,686.28

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Solution

The fourth proportional to 47,830.60, 65,996.22 and 27,686.28 is: 38,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830.60 : 65,996.22 = 27,686.28 : x
  2. Step 2: Convert to fraction form
    47,830.60/65,996.22 = 27,686.28/x
  3. Step 3: Cross multiply
    47,830.60x = 65,996.22 × 27,686.28
  4. Step 4: Simplify right side
    47,830.60x = 1,827,189,825.86
  5. Step 5: Solve for x
    x = 1,827,189,825.86/47,830.60
  6. Step 6: Final answer
    x = 38,201.27

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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.