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Finding the Fourth Proportional to 102,809.32, 154,229.34 and 32,690.92

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Solution

The fourth proportional to 102,809.32, 154,229.34 and 32,690.92 is: 49,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.32 : 154,229.34 = 32,690.92 : x
  2. Step 2: Convert to fraction form
    102,809.32/154,229.34 = 32,690.92/x
  3. Step 3: Cross multiply
    102,809.32x = 154,229.34 × 32,690.92
  4. Step 4: Simplify right side
    102,809.32x = 5,041,899,015.59
  5. Step 5: Solve for x
    x = 5,041,899,015.59/102,809.32
  6. Step 6: Final answer
    x = 49,041.26

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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.