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Finding the Fourth Proportional to 32,991.38, 49,486.38 and 8,031.57

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Solution

The fourth proportional to 32,991.38, 49,486.38 and 8,031.57 is: 12,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.38 : 49,486.38 = 8,031.57 : x
  2. Step 2: Convert to fraction form
    32,991.38/49,486.38 = 8,031.57/x
  3. Step 3: Cross multiply
    32,991.38x = 49,486.38 × 8,031.57
  4. Step 4: Simplify right side
    32,991.38x = 397,453,109.32
  5. Step 5: Solve for x
    x = 397,453,109.32/32,991.38
  6. Step 6: Final answer
    x = 12,047.18

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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.