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Finding the Fourth Proportional to 32,641.93, 48,954.04 and 8,943.76

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Solution

The fourth proportional to 32,641.93, 48,954.04 and 8,943.76 is: 13,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.93 : 48,954.04 = 8,943.76 : x
  2. Step 2: Convert to fraction form
    32,641.93/48,954.04 = 8,943.76/x
  3. Step 3: Cross multiply
    32,641.93x = 48,954.04 × 8,943.76
  4. Step 4: Simplify right side
    32,641.93x = 437,833,040.05
  5. Step 5: Solve for x
    x = 437,833,040.05/32,641.93
  6. Step 6: Final answer
    x = 13,413.21

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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.