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Finding the Fourth Proportional to 34,447.32, 47,565.30 and 28,074.84

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Solution

The fourth proportional to 34,447.32, 47,565.30 and 28,074.84 is: 38,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,447.32 : 47,565.30 = 28,074.84 : x
  2. Step 2: Convert to fraction form
    34,447.32/47,565.30 = 28,074.84/x
  3. Step 3: Cross multiply
    34,447.32x = 47,565.30 × 28,074.84
  4. Step 4: Simplify right side
    34,447.32x = 1,335,388,187.05
  5. Step 5: Solve for x
    x = 1,335,388,187.05/34,447.32
  6. Step 6: Final answer
    x = 38,766.10

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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.