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Finding the Fourth Proportional to 48,691.74, 73,048.55 and 15,413.80

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Solution

The fourth proportional to 48,691.74, 73,048.55 and 15,413.80 is: 23,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,691.74 : 73,048.55 = 15,413.80 : x
  2. Step 2: Convert to fraction form
    48,691.74/73,048.55 = 15,413.80/x
  3. Step 3: Cross multiply
    48,691.74x = 73,048.55 × 15,413.80
  4. Step 4: Simplify right side
    48,691.74x = 1,125,955,739.99
  5. Step 5: Solve for x
    x = 1,125,955,739.99/48,691.74
  6. Step 6: Final answer
    x = 23,124.16

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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.