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Finding the Fourth Proportional to 10,048, 15,074.44 and 3,122.50

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Solution

The fourth proportional to 10,048, 15,074.44 and 3,122.50 is: 4,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048 : 15,074.44 = 3,122.50 : x
  2. Step 2: Convert to fraction form
    10,048/15,074.44 = 3,122.50/x
  3. Step 3: Cross multiply
    10,048x = 15,074.44 × 3,122.50
  4. Step 4: Simplify right side
    10,048x = 47,069,938.90
  5. Step 5: Solve for x
    x = 47,069,938.90/10,048
  6. Step 6: Final answer
    x = 4,684.51

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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.