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Finding the Fourth Proportional to 88,709.26, 122,413.62 and 48,415

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Solution

The fourth proportional to 88,709.26, 122,413.62 and 48,415 is: 66,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,709.26 : 122,413.62 = 48,415 : x
  2. Step 2: Convert to fraction form
    88,709.26/122,413.62 = 48,415/x
  3. Step 3: Cross multiply
    88,709.26x = 122,413.62 × 48,415
  4. Step 4: Simplify right side
    88,709.26x = 5,926,655,412.30
  5. Step 5: Solve for x
    x = 5,926,655,412.30/88,709.26
  6. Step 6: Final answer
    x = 66,809.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.