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Finding the Fourth Proportional to 83,264.47, 114,878.70 and 50,965.38

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Solution

The fourth proportional to 83,264.47, 114,878.70 and 50,965.38 is: 70,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.47 : 114,878.70 = 50,965.38 : x
  2. Step 2: Convert to fraction form
    83,264.47/114,878.70 = 50,965.38/x
  3. Step 3: Cross multiply
    83,264.47x = 114,878.70 × 50,965.38
  4. Step 4: Simplify right side
    83,264.47x = 5,854,836,599.41
  5. Step 5: Solve for x
    x = 5,854,836,599.41/83,264.47
  6. Step 6: Final answer
    x = 70,316.15

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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.