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Finding the Fourth Proportional to 92,585.32, 138,849.33 and 33,413.50

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Solution

The fourth proportional to 92,585.32, 138,849.33 and 33,413.50 is: 50,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,585.32 : 138,849.33 = 33,413.50 : x
  2. Step 2: Convert to fraction form
    92,585.32/138,849.33 = 33,413.50/x
  3. Step 3: Cross multiply
    92,585.32x = 138,849.33 × 33,413.50
  4. Step 4: Simplify right side
    92,585.32x = 4,639,442,087.96
  5. Step 5: Solve for x
    x = 4,639,442,087.96/92,585.32
  6. Step 6: Final answer
    x = 50,109.91

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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.