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Finding the Fourth Proportional to 83,338.63, 115,006.42 and 45,097.34

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Solution

The fourth proportional to 83,338.63, 115,006.42 and 45,097.34 is: 62,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,338.63 : 115,006.42 = 45,097.34 : x
  2. Step 2: Convert to fraction form
    83,338.63/115,006.42 = 45,097.34/x
  3. Step 3: Cross multiply
    83,338.63x = 115,006.42 × 45,097.34
  4. Step 4: Simplify right side
    83,338.63x = 5,186,483,624.92
  5. Step 5: Solve for x
    x = 5,186,483,624.92/83,338.63
  6. Step 6: Final answer
    x = 62,233.85

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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.