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Finding the Fourth Proportional to 75,605.40, 113,420.31 and 23,002.50

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Solution

The fourth proportional to 75,605.40, 113,420.31 and 23,002.50 is: 34,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605.40 : 113,420.31 = 23,002.50 : x
  2. Step 2: Convert to fraction form
    75,605.40/113,420.31 = 23,002.50/x
  3. Step 3: Cross multiply
    75,605.40x = 113,420.31 × 23,002.50
  4. Step 4: Simplify right side
    75,605.40x = 2,608,950,680.78
  5. Step 5: Solve for x
    x = 2,608,950,680.78/75,605.40
  6. Step 6: Final answer
    x = 34,507.46

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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.