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Finding the Fourth Proportional to 42,674.68, 63,888.06 and 24,851

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Solution

The fourth proportional to 42,674.68, 63,888.06 and 24,851 is: 37,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,674.68 : 63,888.06 = 24,851 : x
  2. Step 2: Convert to fraction form
    42,674.68/63,888.06 = 24,851/x
  3. Step 3: Cross multiply
    42,674.68x = 63,888.06 × 24,851
  4. Step 4: Simplify right side
    42,674.68x = 1,587,682,179.06
  5. Step 5: Solve for x
    x = 1,587,682,179.06/42,674.68
  6. Step 6: Final answer
    x = 37,204.31

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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.