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Finding the Fourth Proportional to 83,838.24, 115,705.26 and 48,033

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Solution

The fourth proportional to 83,838.24, 115,705.26 and 48,033 is: 66,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.24 : 115,705.26 = 48,033 : x
  2. Step 2: Convert to fraction form
    83,838.24/115,705.26 = 48,033/x
  3. Step 3: Cross multiply
    83,838.24x = 115,705.26 × 48,033
  4. Step 4: Simplify right side
    83,838.24x = 5,557,670,753.58
  5. Step 5: Solve for x
    x = 5,557,670,753.58/83,838.24
  6. Step 6: Final answer
    x = 66,290.40

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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.