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Finding the Fourth Proportional to 32,561.49, 48,832.50 and 13,841.46

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Solution

The fourth proportional to 32,561.49, 48,832.50 and 13,841.46 is: 20,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561.49 : 48,832.50 = 13,841.46 : x
  2. Step 2: Convert to fraction form
    32,561.49/48,832.50 = 13,841.46/x
  3. Step 3: Cross multiply
    32,561.49x = 48,832.50 × 13,841.46
  4. Step 4: Simplify right side
    32,561.49x = 675,913,095.45
  5. Step 5: Solve for x
    x = 675,913,095.45/32,561.49
  6. Step 6: Final answer
    x = 20,758.05

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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.