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Finding the Fourth Proportional to 71,729.92, 107,593.93 and 32,259.16

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Solution

The fourth proportional to 71,729.92, 107,593.93 and 32,259.16 is: 48,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,729.92 : 107,593.93 = 32,259.16 : x
  2. Step 2: Convert to fraction form
    71,729.92/107,593.93 = 32,259.16/x
  3. Step 3: Cross multiply
    71,729.92x = 107,593.93 × 32,259.16
  4. Step 4: Simplify right side
    71,729.92x = 3,470,889,802.90
  5. Step 5: Solve for x
    x = 3,470,889,802.90/71,729.92
  6. Step 6: Final answer
    x = 48,388.31

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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.