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Finding the Fourth Proportional to 83,806.98, 125,710.14 and 33,886.47

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Solution

The fourth proportional to 83,806.98, 125,710.14 and 33,886.47 is: 50,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,806.98 : 125,710.14 = 33,886.47 : x
  2. Step 2: Convert to fraction form
    83,806.98/125,710.14 = 33,886.47/x
  3. Step 3: Cross multiply
    83,806.98x = 125,710.14 × 33,886.47
  4. Step 4: Simplify right side
    83,806.98x = 4,259,872,887.81
  5. Step 5: Solve for x
    x = 4,259,872,887.81/83,806.98
  6. Step 6: Final answer
    x = 50,829.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.