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Finding the Fourth Proportional to 34,823.25, 52,243.52 and 10,199.25

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Solution

The fourth proportional to 34,823.25, 52,243.52 and 10,199.25 is: 15,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,823.25 : 52,243.52 = 10,199.25 : x
  2. Step 2: Convert to fraction form
    34,823.25/52,243.52 = 10,199.25/x
  3. Step 3: Cross multiply
    34,823.25x = 52,243.52 × 10,199.25
  4. Step 4: Simplify right side
    34,823.25x = 532,844,670.36
  5. Step 5: Solve for x
    x = 532,844,670.36/34,823.25
  6. Step 6: Final answer
    x = 15,301.41

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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.