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Finding the Fourth Proportional to 83,557.05, 115,309.22 and 47,748.38

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Solution

The fourth proportional to 83,557.05, 115,309.22 and 47,748.38 is: 65,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,557.05 : 115,309.22 = 47,748.38 : x
  2. Step 2: Convert to fraction form
    83,557.05/115,309.22 = 47,748.38/x
  3. Step 3: Cross multiply
    83,557.05x = 115,309.22 × 47,748.38
  4. Step 4: Simplify right side
    83,557.05x = 5,505,827,638.78
  5. Step 5: Solve for x
    x = 5,505,827,638.78/83,557.05
  6. Step 6: Final answer
    x = 65,893.04

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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.