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Finding the Fourth Proportional to 32,992.80, 49,489.20 and 9,616.20

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Solution

The fourth proportional to 32,992.80, 49,489.20 and 9,616.20 is: 14,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.80 : 49,489.20 = 9,616.20 : x
  2. Step 2: Convert to fraction form
    32,992.80/49,489.20 = 9,616.20/x
  3. Step 3: Cross multiply
    32,992.80x = 49,489.20 × 9,616.20
  4. Step 4: Simplify right side
    32,992.80x = 475,898,045.04
  5. Step 5: Solve for x
    x = 475,898,045.04/32,992.80
  6. Step 6: Final answer
    x = 14,424.30

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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.