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Finding the Fourth Proportional to 32,665.46, 48,977.13 and 13,957.70

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Solution

The fourth proportional to 32,665.46, 48,977.13 and 13,957.70 is: 20,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.46 : 48,977.13 = 13,957.70 : x
  2. Step 2: Convert to fraction form
    32,665.46/48,977.13 = 13,957.70/x
  3. Step 3: Cross multiply
    32,665.46x = 48,977.13 × 13,957.70
  4. Step 4: Simplify right side
    32,665.46x = 683,608,087.40
  5. Step 5: Solve for x
    x = 683,608,087.40/32,665.46
  6. Step 6: Final answer
    x = 20,927.55

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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.