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Finding the Fourth Proportional to 107,101.92, 160,662.16 and 32,216.96

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Solution

The fourth proportional to 107,101.92, 160,662.16 and 32,216.96 is: 48,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,101.92 : 160,662.16 = 32,216.96 : x
  2. Step 2: Convert to fraction form
    107,101.92/160,662.16 = 32,216.96/x
  3. Step 3: Cross multiply
    107,101.92x = 160,662.16 × 32,216.96
  4. Step 4: Simplify right side
    107,101.92x = 5,176,046,382.23
  5. Step 5: Solve for x
    x = 5,176,046,382.23/107,101.92
  6. Step 6: Final answer
    x = 48,328.23

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1.5x scale

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.