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Finding the Fourth Proportional to 32,353.58, 48,542.16 and 13,638.32

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Solution

The fourth proportional to 32,353.58, 48,542.16 and 13,638.32 is: 20,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.58 : 48,542.16 = 13,638.32 : x
  2. Step 2: Convert to fraction form
    32,353.58/48,542.16 = 13,638.32/x
  3. Step 3: Cross multiply
    32,353.58x = 48,542.16 × 13,638.32
  4. Step 4: Simplify right side
    32,353.58x = 662,033,511.57
  5. Step 5: Solve for x
    x = 662,033,511.57/32,353.58
  6. Step 6: Final answer
    x = 20,462.45

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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.