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Finding the Fourth Proportional to 32,419.80, 48,615.12 and 12,688.20

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Solution

The fourth proportional to 32,419.80, 48,615.12 and 12,688.20 is: 19,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.80 : 48,615.12 = 12,688.20 : x
  2. Step 2: Convert to fraction form
    32,419.80/48,615.12 = 12,688.20/x
  3. Step 3: Cross multiply
    32,419.80x = 48,615.12 × 12,688.20
  4. Step 4: Simplify right side
    32,419.80x = 616,838,365.58
  5. Step 5: Solve for x
    x = 616,838,365.58/32,419.80
  6. Step 6: Final answer
    x = 19,026.59

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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.