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Finding the Fourth Proportional to 31,436.69, 47,160.88 and 10,378.19

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Solution

The fourth proportional to 31,436.69, 47,160.88 and 10,378.19 is: 15,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,436.69 : 47,160.88 = 10,378.19 : x
  2. Step 2: Convert to fraction form
    31,436.69/47,160.88 = 10,378.19/x
  3. Step 3: Cross multiply
    31,436.69x = 47,160.88 × 10,378.19
  4. Step 4: Simplify right side
    31,436.69x = 489,444,665.16
  5. Step 5: Solve for x
    x = 489,444,665.16/31,436.69
  6. Step 6: Final answer
    x = 15,569.22

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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.