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Finding the Fourth Proportional to 37,002.78, 51,069.42 and 23,580

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Solution

The fourth proportional to 37,002.78, 51,069.42 and 23,580 is: 32,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,002.78 : 51,069.42 = 23,580 : x
  2. Step 2: Convert to fraction form
    37,002.78/51,069.42 = 23,580/x
  3. Step 3: Cross multiply
    37,002.78x = 51,069.42 × 23,580
  4. Step 4: Simplify right side
    37,002.78x = 1,204,216,923.60
  5. Step 5: Solve for x
    x = 1,204,216,923.60/37,002.78
  6. Step 6: Final answer
    x = 32,543.96

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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.