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Finding the Fourth Proportional to 32,659.86, 48,998.02 and 9,286.30

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Solution

The fourth proportional to 32,659.86, 48,998.02 and 9,286.30 is: 13,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.86 : 48,998.02 = 9,286.30 : x
  2. Step 2: Convert to fraction form
    32,659.86/48,998.02 = 9,286.30/x
  3. Step 3: Cross multiply
    32,659.86x = 48,998.02 × 9,286.30
  4. Step 4: Simplify right side
    32,659.86x = 455,010,313.13
  5. Step 5: Solve for x
    x = 455,010,313.13/32,659.86
  6. Step 6: Final answer
    x = 13,931.79

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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.