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Finding the Fourth Proportional to 75,607.29, 113,411.23 and 30,629.50

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Solution

The fourth proportional to 75,607.29, 113,411.23 and 30,629.50 is: 45,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,607.29 : 113,411.23 = 30,629.50 : x
  2. Step 2: Convert to fraction form
    75,607.29/113,411.23 = 30,629.50/x
  3. Step 3: Cross multiply
    75,607.29x = 113,411.23 × 30,629.50
  4. Step 4: Simplify right side
    75,607.29x = 3,473,729,001.73
  5. Step 5: Solve for x
    x = 3,473,729,001.73/75,607.29
  6. Step 6: Final answer
    x = 45,944.37

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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.