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Finding the Fourth Proportional to 32,627.14, 48,959.16 and 13,905.20

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Solution

The fourth proportional to 32,627.14, 48,959.16 and 13,905.20 is: 20,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,627.14 : 48,959.16 = 13,905.20 : x
  2. Step 2: Convert to fraction form
    32,627.14/48,959.16 = 13,905.20/x
  3. Step 3: Cross multiply
    32,627.14x = 48,959.16 × 13,905.20
  4. Step 4: Simplify right side
    32,627.14x = 680,786,911.63
  5. Step 5: Solve for x
    x = 680,786,911.63/32,627.14
  6. Step 6: Final answer
    x = 20,865.66

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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.