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Finding the Fourth Proportional to 32,133.68, 48,218.75 and 12,413.63

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Solution

The fourth proportional to 32,133.68, 48,218.75 and 12,413.63 is: 18,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.68 : 48,218.75 = 12,413.63 : x
  2. Step 2: Convert to fraction form
    32,133.68/48,218.75 = 12,413.63/x
  3. Step 3: Cross multiply
    32,133.68x = 48,218.75 × 12,413.63
  4. Step 4: Simplify right side
    32,133.68x = 598,569,418.40
  5. Step 5: Solve for x
    x = 598,569,418.40/32,133.68
  6. Step 6: Final answer
    x = 18,627.48

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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.