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Finding the Fourth Proportional to 34,569.48, 51,853.88 and 15,844.20

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Solution

The fourth proportional to 34,569.48, 51,853.88 and 15,844.20 is: 23,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569.48 : 51,853.88 = 15,844.20 : x
  2. Step 2: Convert to fraction form
    34,569.48/51,853.88 = 15,844.20/x
  3. Step 3: Cross multiply
    34,569.48x = 51,853.88 × 15,844.20
  4. Step 4: Simplify right side
    34,569.48x = 821,583,245.50
  5. Step 5: Solve for x
    x = 821,583,245.50/34,569.48
  6. Step 6: Final answer
    x = 23,766.14

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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.