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Finding the Fourth Proportional to 50,006.40, 75,046.50 and 23,711.20

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Solution

The fourth proportional to 50,006.40, 75,046.50 and 23,711.20 is: 35,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,006.40 : 75,046.50 = 23,711.20 : x
  2. Step 2: Convert to fraction form
    50,006.40/75,046.50 = 23,711.20/x
  3. Step 3: Cross multiply
    50,006.40x = 75,046.50 × 23,711.20
  4. Step 4: Simplify right side
    50,006.40x = 1,779,442,570.80
  5. Step 5: Solve for x
    x = 1,779,442,570.80/50,006.40
  6. Step 6: Final answer
    x = 35,584.30

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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.