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Finding the Fourth Proportional to 32,049.14, 48,070.06 and 8,677.40

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Solution

The fourth proportional to 32,049.14, 48,070.06 and 8,677.40 is: 13,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.14 : 48,070.06 = 8,677.40 : x
  2. Step 2: Convert to fraction form
    32,049.14/48,070.06 = 8,677.40/x
  3. Step 3: Cross multiply
    32,049.14x = 48,070.06 × 8,677.40
  4. Step 4: Simplify right side
    32,049.14x = 417,122,876.60
  5. Step 5: Solve for x
    x = 417,122,876.60/32,049.14
  6. Step 6: Final answer
    x = 13,015.11

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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.