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Finding the Fourth Proportional to 83,292.53, 114,944.64 and 45,052.85

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Solution

The fourth proportional to 83,292.53, 114,944.64 and 45,052.85 is: 62,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.53 : 114,944.64 = 45,052.85 : x
  2. Step 2: Convert to fraction form
    83,292.53/114,944.64 = 45,052.85/x
  3. Step 3: Cross multiply
    83,292.53x = 114,944.64 × 45,052.85
  4. Step 4: Simplify right side
    83,292.53x = 5,178,583,624.22
  5. Step 5: Solve for x
    x = 5,178,583,624.22/83,292.53
  6. Step 6: Final answer
    x = 62,173.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.