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Finding the Fourth Proportional to 83,514.32, 125,245.50 and 27,341.90

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Solution

The fourth proportional to 83,514.32, 125,245.50 and 27,341.90 is: 41,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514.32 : 125,245.50 = 27,341.90 : x
  2. Step 2: Convert to fraction form
    83,514.32/125,245.50 = 27,341.90/x
  3. Step 3: Cross multiply
    83,514.32x = 125,245.50 × 27,341.90
  4. Step 4: Simplify right side
    83,514.32x = 3,424,450,574.11
  5. Step 5: Solve for x
    x = 3,424,450,574.11/83,514.32
  6. Step 6: Final answer
    x = 41,004.35

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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.