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Finding the Fourth Proportional to 113,485, 170,227.50 and 30,379

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Solution

The fourth proportional to 113,485, 170,227.50 and 30,379 is: 45,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,485 : 170,227.50 = 30,379 : x
  2. Step 2: Convert to fraction form
    113,485/170,227.50 = 30,379/x
  3. Step 3: Cross multiply
    113,485x = 170,227.50 × 30,379
  4. Step 4: Simplify right side
    113,485x = 5,171,341,222.50
  5. Step 5: Solve for x
    x = 5,171,341,222.50/113,485
  6. Step 6: Final answer
    x = 45,568.50

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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.