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Finding the Fourth Proportional to 52,267, 78,413.48 and 15,331

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Solution

The fourth proportional to 52,267, 78,413.48 and 15,331 is: 23,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,267 : 78,413.48 = 15,331 : x
  2. Step 2: Convert to fraction form
    52,267/78,413.48 = 15,331/x
  3. Step 3: Cross multiply
    52,267x = 78,413.48 × 15,331
  4. Step 4: Simplify right side
    52,267x = 1,202,157,061.88
  5. Step 5: Solve for x
    x = 1,202,157,061.88/52,267
  6. Step 6: Final answer
    x = 23,000.31

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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.