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Finding the Fourth Proportional to 83,040.45, 114,596.13 and 45,314.70

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Solution

The fourth proportional to 83,040.45, 114,596.13 and 45,314.70 is: 62,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,040.45 : 114,596.13 = 45,314.70 : x
  2. Step 2: Convert to fraction form
    83,040.45/114,596.13 = 45,314.70/x
  3. Step 3: Cross multiply
    83,040.45x = 114,596.13 × 45,314.70
  4. Step 4: Simplify right side
    83,040.45x = 5,192,889,252.11
  5. Step 5: Solve for x
    x = 5,192,889,252.11/83,040.45
  6. Step 6: Final answer
    x = 62,534.45

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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.