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Finding the Fourth Proportional to 32,182.32, 44,424 and 31,294.56

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Solution

The fourth proportional to 32,182.32, 44,424 and 31,294.56 is: 43,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.32 : 44,424 = 31,294.56 : x
  2. Step 2: Convert to fraction form
    32,182.32/44,424 = 31,294.56/x
  3. Step 3: Cross multiply
    32,182.32x = 44,424 × 31,294.56
  4. Step 4: Simplify right side
    32,182.32x = 1,390,229,533.44
  5. Step 5: Solve for x
    x = 1,390,229,533.44/32,182.32
  6. Step 6: Final answer
    x = 43,198.55

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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.