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Finding the Fourth Proportional to 32,161, 48,220.80 and 13,436.02

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Solution

The fourth proportional to 32,161, 48,220.80 and 13,436.02 is: 20,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161 : 48,220.80 = 13,436.02 : x
  2. Step 2: Convert to fraction form
    32,161/48,220.80 = 13,436.02/x
  3. Step 3: Cross multiply
    32,161x = 48,220.80 × 13,436.02
  4. Step 4: Simplify right side
    32,161x = 647,895,633.22
  5. Step 5: Solve for x
    x = 647,895,633.22/32,161
  6. Step 6: Final answer
    x = 20,145.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.