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Finding the Fourth Proportional to 32,803.92, 45,238.32 and 22,073.04

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Solution

The fourth proportional to 32,803.92, 45,238.32 and 22,073.04 is: 30,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.92 : 45,238.32 = 22,073.04 : x
  2. Step 2: Convert to fraction form
    32,803.92/45,238.32 = 22,073.04/x
  3. Step 3: Cross multiply
    32,803.92x = 45,238.32 × 22,073.04
  4. Step 4: Simplify right side
    32,803.92x = 998,547,246.89
  5. Step 5: Solve for x
    x = 998,547,246.89/32,803.92
  6. Step 6: Final answer
    x = 30,439.88

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1.5x scale

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.