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Finding the Fourth Proportional to 40,748.80, 61,123.20 and 23,252.80

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Solution

The fourth proportional to 40,748.80, 61,123.20 and 23,252.80 is: 34,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,748.80 : 61,123.20 = 23,252.80 : x
  2. Step 2: Convert to fraction form
    40,748.80/61,123.20 = 23,252.80/x
  3. Step 3: Cross multiply
    40,748.80x = 61,123.20 × 23,252.80
  4. Step 4: Simplify right side
    40,748.80x = 1,421,285,544.96
  5. Step 5: Solve for x
    x = 1,421,285,544.96/40,748.80
  6. Step 6: Final answer
    x = 34,879.20

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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.