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Finding the Fourth Proportional to 32,206.70, 44,422.76 and 31,122.92

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Solution

The fourth proportional to 32,206.70, 44,422.76 and 31,122.92 is: 42,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.70 : 44,422.76 = 31,122.92 : x
  2. Step 2: Convert to fraction form
    32,206.70/44,422.76 = 31,122.92/x
  3. Step 3: Cross multiply
    32,206.70x = 44,422.76 × 31,122.92
  4. Step 4: Simplify right side
    32,206.70x = 1,382,566,194.52
  5. Step 5: Solve for x
    x = 1,382,566,194.52/32,206.70
  6. Step 6: Final answer
    x = 42,927.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.