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Finding the Fourth Proportional to 34,986, 52,480.44 and 10,362

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Solution

The fourth proportional to 34,986, 52,480.44 and 10,362 is: 15,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,986 : 52,480.44 = 10,362 : x
  2. Step 2: Convert to fraction form
    34,986/52,480.44 = 10,362/x
  3. Step 3: Cross multiply
    34,986x = 52,480.44 × 10,362
  4. Step 4: Simplify right side
    34,986x = 543,802,319.28
  5. Step 5: Solve for x
    x = 543,802,319.28/34,986
  6. Step 6: Final answer
    x = 15,543.43

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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.