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Finding the Fourth Proportional to 32,143.53, 48,222.99 and 13,413.15

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Solution

The fourth proportional to 32,143.53, 48,222.99 and 13,413.15 is: 20,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.53 : 48,222.99 = 13,413.15 : x
  2. Step 2: Convert to fraction form
    32,143.53/48,222.99 = 13,413.15/x
  3. Step 3: Cross multiply
    32,143.53x = 48,222.99 × 13,413.15
  4. Step 4: Simplify right side
    32,143.53x = 646,822,085.35
  5. Step 5: Solve for x
    x = 646,822,085.35/32,143.53
  6. Step 6: Final answer
    x = 20,122.93

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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.