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Finding the Fourth Proportional to 32,205.40, 48,308.10 and 13,506.55

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Solution

The fourth proportional to 32,205.40, 48,308.10 and 13,506.55 is: 20,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.40 : 48,308.10 = 13,506.55 : x
  2. Step 2: Convert to fraction form
    32,205.40/48,308.10 = 13,506.55/x
  3. Step 3: Cross multiply
    32,205.40x = 48,308.10 × 13,506.55
  4. Step 4: Simplify right side
    32,205.40x = 652,475,768.06
  5. Step 5: Solve for x
    x = 652,475,768.06/32,205.40
  6. Step 6: Final answer
    x = 20,259.83

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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.