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Finding the Fourth Proportional to 71,728.92, 107,592.44 and 32,258.16

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Solution

The fourth proportional to 71,728.92, 107,592.44 and 32,258.16 is: 48,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728.92 : 107,592.44 = 32,258.16 : x
  2. Step 2: Convert to fraction form
    71,728.92/107,592.44 = 32,258.16/x
  3. Step 3: Cross multiply
    71,728.92x = 107,592.44 × 32,258.16
  4. Step 4: Simplify right side
    71,728.92x = 3,470,733,983.02
  5. Step 5: Solve for x
    x = 3,470,733,983.02/71,728.92
  6. Step 6: Final answer
    x = 48,386.82

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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.