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Finding the Fourth Proportional to 78,382.90, 117,540.33 and 28,446.40

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Solution

The fourth proportional to 78,382.90, 117,540.33 and 28,446.40 is: 42,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.90 : 117,540.33 = 28,446.40 : x
  2. Step 2: Convert to fraction form
    78,382.90/117,540.33 = 28,446.40/x
  3. Step 3: Cross multiply
    78,382.90x = 117,540.33 × 28,446.40
  4. Step 4: Simplify right side
    78,382.90x = 3,343,599,243.31
  5. Step 5: Solve for x
    x = 3,343,599,243.31/78,382.90
  6. Step 6: Final answer
    x = 42,657.25

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Why These Related Problems?

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