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Finding the Fourth Proportional to 83,224.40, 114,850 and 45,499.28

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Solution

The fourth proportional to 83,224.40, 114,850 and 45,499.28 is: 62,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.40 : 114,850 = 45,499.28 : x
  2. Step 2: Convert to fraction form
    83,224.40/114,850 = 45,499.28/x
  3. Step 3: Cross multiply
    83,224.40x = 114,850 × 45,499.28
  4. Step 4: Simplify right side
    83,224.40x = 5,225,592,308
  5. Step 5: Solve for x
    x = 5,225,592,308/83,224.40
  6. Step 6: Final answer
    x = 62,789.19

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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.