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Finding the Fourth Proportional to 32,402.14, 48,615.90 and 12,677.32

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Solution

The fourth proportional to 32,402.14, 48,615.90 and 12,677.32 is: 19,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.14 : 48,615.90 = 12,677.32 : x
  2. Step 2: Convert to fraction form
    32,402.14/48,615.90 = 12,677.32/x
  3. Step 3: Cross multiply
    32,402.14x = 48,615.90 × 12,677.32
  4. Step 4: Simplify right side
    32,402.14x = 616,319,321.39
  5. Step 5: Solve for x
    x = 616,319,321.39/32,402.14
  6. Step 6: Final answer
    x = 19,020.94

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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.