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Finding the Fourth Proportional to 32,413.60, 44,632.64 and 27,687.52

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Solution

The fourth proportional to 32,413.60, 44,632.64 and 27,687.52 is: 38,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.60 : 44,632.64 = 27,687.52 : x
  2. Step 2: Convert to fraction form
    32,413.60/44,632.64 = 27,687.52/x
  3. Step 3: Cross multiply
    32,413.60x = 44,632.64 × 27,687.52
  4. Step 4: Simplify right side
    32,413.60x = 1,235,767,112.65
  5. Step 5: Solve for x
    x = 1,235,767,112.65/32,413.60
  6. Step 6: Final answer
    x = 38,124.96

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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.