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Finding the Fourth Proportional to 32,070.25, 44,257.23 and 17,729.85

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Solution

The fourth proportional to 32,070.25, 44,257.23 and 17,729.85 is: 24,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070.25 : 44,257.23 = 17,729.85 : x
  2. Step 2: Convert to fraction form
    32,070.25/44,257.23 = 17,729.85/x
  3. Step 3: Cross multiply
    32,070.25x = 44,257.23 × 17,729.85
  4. Step 4: Simplify right side
    32,070.25x = 784,674,049.32
  5. Step 5: Solve for x
    x = 784,674,049.32/32,070.25
  6. Step 6: Final answer
    x = 24,467.35

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