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Finding the Fourth Proportional to 32,772.60, 49,160.34 and 9,401.40

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Solution

The fourth proportional to 32,772.60, 49,160.34 and 9,401.40 is: 14,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.60 : 49,160.34 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    32,772.60/49,160.34 = 9,401.40/x
  3. Step 3: Cross multiply
    32,772.60x = 49,160.34 × 9,401.40
  4. Step 4: Simplify right side
    32,772.60x = 462,176,020.48
  5. Step 5: Solve for x
    x = 462,176,020.48/32,772.60
  6. Step 6: Final answer
    x = 14,102.51

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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.