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Finding the Fourth Proportional to 83,142.36, 114,732.18 and 45,409.32

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Solution

The fourth proportional to 83,142.36, 114,732.18 and 45,409.32 is: 62,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142.36 : 114,732.18 = 45,409.32 : x
  2. Step 2: Convert to fraction form
    83,142.36/114,732.18 = 45,409.32/x
  3. Step 3: Cross multiply
    83,142.36x = 114,732.18 × 45,409.32
  4. Step 4: Simplify right side
    83,142.36x = 5,209,910,275.92
  5. Step 5: Solve for x
    x = 5,209,910,275.92/83,142.36
  6. Step 6: Final answer
    x = 62,662.53

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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.