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Finding the Fourth Proportional to 32,965.66, 49,449.85 and 9,592.10

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Solution

The fourth proportional to 32,965.66, 49,449.85 and 9,592.10 is: 14,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.66 : 49,449.85 = 9,592.10 : x
  2. Step 2: Convert to fraction form
    32,965.66/49,449.85 = 9,592.10/x
  3. Step 3: Cross multiply
    32,965.66x = 49,449.85 × 9,592.10
  4. Step 4: Simplify right side
    32,965.66x = 474,327,906.19
  5. Step 5: Solve for x
    x = 474,327,906.19/32,965.66
  6. Step 6: Final answer
    x = 14,388.55

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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.