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Finding the Fourth Proportional to 31,435.54, 47,154.78 and 10,377.42

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Solution

The fourth proportional to 31,435.54, 47,154.78 and 10,377.42 is: 15,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.54 : 47,154.78 = 10,377.42 : x
  2. Step 2: Convert to fraction form
    31,435.54/47,154.78 = 10,377.42/x
  3. Step 3: Cross multiply
    31,435.54x = 47,154.78 × 10,377.42
  4. Step 4: Simplify right side
    31,435.54x = 489,344,957.07
  5. Step 5: Solve for x
    x = 489,344,957.07/31,435.54
  6. Step 6: Final answer
    x = 15,566.62

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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.