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Finding the Fourth Proportional to 83,227.92, 114,856.29 and 45,501.36

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Solution

The fourth proportional to 83,227.92, 114,856.29 and 45,501.36 is: 62,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.92 : 114,856.29 = 45,501.36 : x
  2. Step 2: Convert to fraction form
    83,227.92/114,856.29 = 45,501.36/x
  3. Step 3: Cross multiply
    83,227.92x = 114,856.29 × 45,501.36
  4. Step 4: Simplify right side
    83,227.92x = 5,226,117,399.55
  5. Step 5: Solve for x
    x = 5,226,117,399.55/83,227.92
  6. Step 6: Final answer
    x = 62,792.84

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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.