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Finding the Fourth Proportional to 83,085.25, 124,657.02 and 51,884.05

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Solution

The fourth proportional to 83,085.25, 124,657.02 and 51,884.05 is: 77,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085.25 : 124,657.02 = 51,884.05 : x
  2. Step 2: Convert to fraction form
    83,085.25/124,657.02 = 51,884.05/x
  3. Step 3: Cross multiply
    83,085.25x = 124,657.02 × 51,884.05
  4. Step 4: Simplify right side
    83,085.25x = 6,467,711,058.53
  5. Step 5: Solve for x
    x = 6,467,711,058.53/83,085.25
  6. Step 6: Final answer
    x = 77,844.28

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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.