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Finding the Fourth Proportional to 83,202.18, 114,817.32 and 45,476.70

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Solution

The fourth proportional to 83,202.18, 114,817.32 and 45,476.70 is: 62,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.18 : 114,817.32 = 45,476.70 : x
  2. Step 2: Convert to fraction form
    83,202.18/114,817.32 = 45,476.70/x
  3. Step 3: Cross multiply
    83,202.18x = 114,817.32 × 45,476.70
  4. Step 4: Simplify right side
    83,202.18x = 5,221,512,816.44
  5. Step 5: Solve for x
    x = 5,221,512,816.44/83,202.18
  6. Step 6: Final answer
    x = 62,756.92

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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.