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Finding the Fourth Proportional to 71,159.76, 106,518.21 and 44,809.16

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Solution

The fourth proportional to 71,159.76, 106,518.21 and 44,809.16 is: 67,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.76 : 106,518.21 = 44,809.16 : x
  2. Step 2: Convert to fraction form
    71,159.76/106,518.21 = 44,809.16/x
  3. Step 3: Cross multiply
    71,159.76x = 106,518.21 × 44,809.16
  4. Step 4: Simplify right side
    71,159.76x = 4,772,990,982.21
  5. Step 5: Solve for x
    x = 4,772,990,982.21/71,159.76
  6. Step 6: Final answer
    x = 67,074.30

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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.