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Finding the Fourth Proportional to 32,474.57, 48,717.32 and 11,413.76

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Solution

The fourth proportional to 32,474.57, 48,717.32 and 11,413.76 is: 17,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.57 : 48,717.32 = 11,413.76 : x
  2. Step 2: Convert to fraction form
    32,474.57/48,717.32 = 11,413.76/x
  3. Step 3: Cross multiply
    32,474.57x = 48,717.32 × 11,413.76
  4. Step 4: Simplify right side
    32,474.57x = 556,047,497.67
  5. Step 5: Solve for x
    x = 556,047,497.67/32,474.57
  6. Step 6: Final answer
    x = 17,122.55

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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.