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Finding the Fourth Proportional to 52,014.68, 71,788.30 and 34,161.48

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Solution

The fourth proportional to 52,014.68, 71,788.30 and 34,161.48 is: 47,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.68 : 71,788.30 = 34,161.48 : x
  2. Step 2: Convert to fraction form
    52,014.68/71,788.30 = 34,161.48/x
  3. Step 3: Cross multiply
    52,014.68x = 71,788.30 × 34,161.48
  4. Step 4: Simplify right side
    52,014.68x = 2,452,394,574.68
  5. Step 5: Solve for x
    x = 2,452,394,574.68/52,014.68
  6. Step 6: Final answer
    x = 47,148.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.