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Finding the Fourth Proportional to 82,863.60, 114,351 and 45,137.52

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Solution

The fourth proportional to 82,863.60, 114,351 and 45,137.52 is: 62,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.60 : 114,351 = 45,137.52 : x
  2. Step 2: Convert to fraction form
    82,863.60/114,351 = 45,137.52/x
  3. Step 3: Cross multiply
    82,863.60x = 114,351 × 45,137.52
  4. Step 4: Simplify right side
    82,863.60x = 5,161,520,549.52
  5. Step 5: Solve for x
    x = 5,161,520,549.52/82,863.60
  6. Step 6: Final answer
    x = 62,289.36

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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.