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Finding the Fourth Proportional to 74,098.34, 111,168.33 and 29,756.24

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Solution

The fourth proportional to 74,098.34, 111,168.33 and 29,756.24 is: 44,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.34 : 111,168.33 = 29,756.24 : x
  2. Step 2: Convert to fraction form
    74,098.34/111,168.33 = 29,756.24/x
  3. Step 3: Cross multiply
    74,098.34x = 111,168.33 × 29,756.24
  4. Step 4: Simplify right side
    74,098.34x = 3,307,950,952.04
  5. Step 5: Solve for x
    x = 3,307,950,952.04/74,098.34
  6. Step 6: Final answer
    x = 44,642.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.