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Finding the Fourth Proportional to 52,148.34, 71,964.27 and 29,491.78

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Solution

The fourth proportional to 52,148.34, 71,964.27 and 29,491.78 is: 40,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.34 : 71,964.27 = 29,491.78 : x
  2. Step 2: Convert to fraction form
    52,148.34/71,964.27 = 29,491.78/x
  3. Step 3: Cross multiply
    52,148.34x = 71,964.27 × 29,491.78
  4. Step 4: Simplify right side
    52,148.34x = 2,122,354,058.88
  5. Step 5: Solve for x
    x = 2,122,354,058.88/52,148.34
  6. Step 6: Final answer
    x = 40,698.41

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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.