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Finding the Fourth Proportional to 121,153.12, 181,715.86 and 32,413.47

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Solution

The fourth proportional to 121,153.12, 181,715.86 and 32,413.47 is: 48,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,153.12 : 181,715.86 = 32,413.47 : x
  2. Step 2: Convert to fraction form
    121,153.12/181,715.86 = 32,413.47/x
  3. Step 3: Cross multiply
    121,153.12x = 181,715.86 × 32,413.47
  4. Step 4: Simplify right side
    121,153.12x = 5,890,040,753.39
  5. Step 5: Solve for x
    x = 5,890,040,753.39/121,153.12
  6. Step 6: Final answer
    x = 48,616.50

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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.