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Finding the Fourth Proportional to 61,894, 85,413.87 and 33,599.68

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Solution

The fourth proportional to 61,894, 85,413.87 and 33,599.68 is: 46,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,894 : 85,413.87 = 33,599.68 : x
  2. Step 2: Convert to fraction form
    61,894/85,413.87 = 33,599.68/x
  3. Step 3: Cross multiply
    61,894x = 85,413.87 × 33,599.68
  4. Step 4: Simplify right side
    61,894x = 2,869,878,699.56
  5. Step 5: Solve for x
    x = 2,869,878,699.56/61,894
  6. Step 6: Final answer
    x = 46,367.64

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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.