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Finding the Fourth Proportional to 71,565.85, 98,763.96 and 39,734.75

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Solution

The fourth proportional to 71,565.85, 98,763.96 and 39,734.75 is: 54,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.85 : 98,763.96 = 39,734.75 : x
  2. Step 2: Convert to fraction form
    71,565.85/98,763.96 = 39,734.75/x
  3. Step 3: Cross multiply
    71,565.85x = 98,763.96 × 39,734.75
  4. Step 4: Simplify right side
    71,565.85x = 3,924,361,060.94
  5. Step 5: Solve for x
    x = 3,924,361,060.94/71,565.85
  6. Step 6: Final answer
    x = 54,835.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.