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Finding the Fourth Proportional to 113,442.16, 170,163.24 and 30,334

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Solution

The fourth proportional to 113,442.16, 170,163.24 and 30,334 is: 45,501

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,442.16 : 170,163.24 = 30,334 : x
  2. Step 2: Convert to fraction form
    113,442.16/170,163.24 = 30,334/x
  3. Step 3: Cross multiply
    113,442.16x = 170,163.24 × 30,334
  4. Step 4: Simplify right side
    113,442.16x = 5,161,731,722.16
  5. Step 5: Solve for x
    x = 5,161,731,722.16/113,442.16
  6. Step 6: Final answer
    x = 45,501

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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.