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Finding the Fourth Proportional to 83,309.45, 114,966.52 and 45,068.85

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Solution

The fourth proportional to 83,309.45, 114,966.52 and 45,068.85 is: 62,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.45 : 114,966.52 = 45,068.85 : x
  2. Step 2: Convert to fraction form
    83,309.45/114,966.52 = 45,068.85/x
  3. Step 3: Cross multiply
    83,309.45x = 114,966.52 × 45,068.85
  4. Step 4: Simplify right side
    83,309.45x = 5,181,408,270.07
  5. Step 5: Solve for x
    x = 5,181,408,270.07/83,309.45
  6. Step 6: Final answer
    x = 62,194.72

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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.