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Finding the Fourth Proportional to 68,413.67, 102,594.35 and 32,864.86

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Solution

The fourth proportional to 68,413.67, 102,594.35 and 32,864.86 is: 49,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,413.67 : 102,594.35 = 32,864.86 : x
  2. Step 2: Convert to fraction form
    68,413.67/102,594.35 = 32,864.86/x
  3. Step 3: Cross multiply
    68,413.67x = 102,594.35 × 32,864.86
  4. Step 4: Simplify right side
    68,413.67x = 3,371,748,272.24
  5. Step 5: Solve for x
    x = 3,371,748,272.24/68,413.67
  6. Step 6: Final answer
    x = 49,284.72

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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.