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Finding the Fourth Proportional to 83,600.58, 115,367.24 and 47,301.64

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Solution

The fourth proportional to 83,600.58, 115,367.24 and 47,301.64 is: 65,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,600.58 : 115,367.24 = 47,301.64 : x
  2. Step 2: Convert to fraction form
    83,600.58/115,367.24 = 47,301.64/x
  3. Step 3: Cross multiply
    83,600.58x = 115,367.24 × 47,301.64
  4. Step 4: Simplify right side
    83,600.58x = 5,457,059,654.27
  5. Step 5: Solve for x
    x = 5,457,059,654.27/83,600.58
  6. Step 6: Final answer
    x = 65,275.38

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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.