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Finding the Fourth Proportional to 34,679.60, 51,970.80 and 24,279.20

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Solution

The fourth proportional to 34,679.60, 51,970.80 and 24,279.20 is: 36,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,679.60 : 51,970.80 = 24,279.20 : x
  2. Step 2: Convert to fraction form
    34,679.60/51,970.80 = 24,279.20/x
  3. Step 3: Cross multiply
    34,679.60x = 51,970.80 × 24,279.20
  4. Step 4: Simplify right side
    34,679.60x = 1,261,809,447.36
  5. Step 5: Solve for x
    x = 1,261,809,447.36/34,679.60
  6. Step 6: Final answer
    x = 36,384.78

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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.