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Finding the Fourth Proportional to 27,521.31, 41,280.35 and 9,053.31

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Solution

The fourth proportional to 27,521.31, 41,280.35 and 9,053.31 is: 13,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,521.31 : 41,280.35 = 9,053.31 : x
  2. Step 2: Convert to fraction form
    27,521.31/41,280.35 = 9,053.31/x
  3. Step 3: Cross multiply
    27,521.31x = 41,280.35 × 9,053.31
  4. Step 4: Simplify right side
    27,521.31x = 373,723,760.19
  5. Step 5: Solve for x
    x = 373,723,760.19/27,521.31
  6. Step 6: Final answer
    x = 13,579.43

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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.