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Finding the Fourth Proportional to 124,413.53, 186,509.79 and 48,494.57

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Solution

The fourth proportional to 124,413.53, 186,509.79 and 48,494.57 is: 72,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,413.53 : 186,509.79 = 48,494.57 : x
  2. Step 2: Convert to fraction form
    124,413.53/186,509.79 = 48,494.57/x
  3. Step 3: Cross multiply
    124,413.53x = 186,509.79 × 48,494.57
  4. Step 4: Simplify right side
    124,413.53x = 9,044,711,134.29
  5. Step 5: Solve for x
    x = 9,044,711,134.29/124,413.53
  6. Step 6: Final answer
    x = 72,698.78

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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.