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Finding the Fourth Proportional to 75,605.50, 113,424.64 and 23,013.61

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Solution

The fourth proportional to 75,605.50, 113,424.64 and 23,013.61 is: 34,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605.50 : 113,424.64 = 23,013.61 : x
  2. Step 2: Convert to fraction form
    75,605.50/113,424.64 = 23,013.61/x
  3. Step 3: Cross multiply
    75,605.50x = 113,424.64 × 23,013.61
  4. Step 4: Simplify right side
    75,605.50x = 2,610,310,429.35
  5. Step 5: Solve for x
    x = 2,610,310,429.35/75,605.50
  6. Step 6: Final answer
    x = 34,525.41

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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.