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Finding the Fourth Proportional to 102,808.32, 154,227.84 and 32,689.92

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Solution

The fourth proportional to 102,808.32, 154,227.84 and 32,689.92 is: 49,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.32 : 154,227.84 = 32,689.92 : x
  2. Step 2: Convert to fraction form
    102,808.32/154,227.84 = 32,689.92/x
  3. Step 3: Cross multiply
    102,808.32x = 154,227.84 × 32,689.92
  4. Step 4: Simplify right side
    102,808.32x = 5,041,695,751.37
  5. Step 5: Solve for x
    x = 5,041,695,751.37/102,808.32
  6. Step 6: Final answer
    x = 49,039.76

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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.