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Finding the Fourth Proportional to 83,072.34, 114,639.54 and 45,346.59

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Solution

The fourth proportional to 83,072.34, 114,639.54 and 45,346.59 is: 62,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072.34 : 114,639.54 = 45,346.59 : x
  2. Step 2: Convert to fraction form
    83,072.34/114,639.54 = 45,346.59/x
  3. Step 3: Cross multiply
    83,072.34x = 114,639.54 × 45,346.59
  4. Step 4: Simplify right side
    83,072.34x = 5,198,512,218.17
  5. Step 5: Solve for x
    x = 5,198,512,218.17/83,072.34
  6. Step 6: Final answer
    x = 62,578.14

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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.