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Finding the Fourth Proportional to 83,212.52, 114,829.22 and 45,486.76

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Solution

The fourth proportional to 83,212.52, 114,829.22 and 45,486.76 is: 62,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.52 : 114,829.22 = 45,486.76 : x
  2. Step 2: Convert to fraction form
    83,212.52/114,829.22 = 45,486.76/x
  3. Step 3: Cross multiply
    83,212.52x = 114,829.22 × 45,486.76
  4. Step 4: Simplify right side
    83,212.52x = 5,223,209,171.13
  5. Step 5: Solve for x
    x = 5,223,209,171.13/83,212.52
  6. Step 6: Final answer
    x = 62,769.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.