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Finding the Fourth Proportional to 32,228.46, 48,293.25 and 13,498.25

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Solution

The fourth proportional to 32,228.46, 48,293.25 and 13,498.25 is: 20,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228.46 : 48,293.25 = 13,498.25 : x
  2. Step 2: Convert to fraction form
    32,228.46/48,293.25 = 13,498.25/x
  3. Step 3: Cross multiply
    32,228.46x = 48,293.25 × 13,498.25
  4. Step 4: Simplify right side
    32,228.46x = 651,874,120.35
  5. Step 5: Solve for x
    x = 651,874,120.35/32,228.46
  6. Step 6: Final answer
    x = 20,226.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.