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Finding the Fourth Proportional to 83,896.96, 115,778 and 45,656.52

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Solution

The fourth proportional to 83,896.96, 115,778 and 45,656.52 is: 63,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.96 : 115,778 = 45,656.52 : x
  2. Step 2: Convert to fraction form
    83,896.96/115,778 = 45,656.52/x
  3. Step 3: Cross multiply
    83,896.96x = 115,778 × 45,656.52
  4. Step 4: Simplify right side
    83,896.96x = 5,286,020,572.56
  5. Step 5: Solve for x
    x = 5,286,020,572.56/83,896.96
  6. Step 6: Final answer
    x = 63,006.10

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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.