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Finding the Fourth Proportional to 71,527.68, 107,297.28 and 29,952

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Solution

The fourth proportional to 71,527.68, 107,297.28 and 29,952 is: 44,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,527.68 : 107,297.28 = 29,952 : x
  2. Step 2: Convert to fraction form
    71,527.68/107,297.28 = 29,952/x
  3. Step 3: Cross multiply
    71,527.68x = 107,297.28 × 29,952
  4. Step 4: Simplify right side
    71,527.68x = 3,213,768,130.56
  5. Step 5: Solve for x
    x = 3,213,768,130.56/71,527.68
  6. Step 6: Final answer
    x = 44,930.41

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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.