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Finding the Fourth Proportional to 47,374.40, 71,061.60 and 34,318.40

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Solution

The fourth proportional to 47,374.40, 71,061.60 and 34,318.40 is: 51,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374.40 : 71,061.60 = 34,318.40 : x
  2. Step 2: Convert to fraction form
    47,374.40/71,061.60 = 34,318.40/x
  3. Step 3: Cross multiply
    47,374.40x = 71,061.60 × 34,318.40
  4. Step 4: Simplify right side
    47,374.40x = 2,438,720,413.44
  5. Step 5: Solve for x
    x = 2,438,720,413.44/47,374.40
  6. Step 6: Final answer
    x = 51,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.