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Finding the Fourth Proportional to 32,143.52, 48,178.32 and 12,413.44

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Solution

The fourth proportional to 32,143.52, 48,178.32 and 12,413.44 is: 18,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.52 : 48,178.32 = 12,413.44 : x
  2. Step 2: Convert to fraction form
    32,143.52/48,178.32 = 12,413.44/x
  3. Step 3: Cross multiply
    32,143.52x = 48,178.32 × 12,413.44
  4. Step 4: Simplify right side
    32,143.52x = 598,058,684.62
  5. Step 5: Solve for x
    x = 598,058,684.62/32,143.52
  6. Step 6: Final answer
    x = 18,605.89

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1.5x scale

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.