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Finding the Fourth Proportional to 105,763.54, 158,581.92 and 49,615.96

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Solution

The fourth proportional to 105,763.54, 158,581.92 and 49,615.96 is: 74,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763.54 : 158,581.92 = 49,615.96 : x
  2. Step 2: Convert to fraction form
    105,763.54/158,581.92 = 49,615.96/x
  3. Step 3: Cross multiply
    105,763.54x = 158,581.92 × 49,615.96
  4. Step 4: Simplify right side
    105,763.54x = 7,868,194,199.44
  5. Step 5: Solve for x
    x = 7,868,194,199.44/105,763.54
  6. Step 6: Final answer
    x = 74,394.20

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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.