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Finding the Fourth Proportional to 83,299.68, 114,948.99 and 45,571.50

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Solution

The fourth proportional to 83,299.68, 114,948.99 and 45,571.50 is: 62,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,299.68 : 114,948.99 = 45,571.50 : x
  2. Step 2: Convert to fraction form
    83,299.68/114,948.99 = 45,571.50/x
  3. Step 3: Cross multiply
    83,299.68x = 114,948.99 × 45,571.50
  4. Step 4: Simplify right side
    83,299.68x = 5,238,397,897.79
  5. Step 5: Solve for x
    x = 5,238,397,897.79/83,299.68
  6. Step 6: Final answer
    x = 62,886.17

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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.