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Finding the Fourth Proportional to 27,775.61, 38,331.20 and 15,200.63

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Solution

The fourth proportional to 27,775.61, 38,331.20 and 15,200.63 is: 20,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.61 : 38,331.20 = 15,200.63 : x
  2. Step 2: Convert to fraction form
    27,775.61/38,331.20 = 15,200.63/x
  3. Step 3: Cross multiply
    27,775.61x = 38,331.20 × 15,200.63
  4. Step 4: Simplify right side
    27,775.61x = 582,658,312.65
  5. Step 5: Solve for x
    x = 582,658,312.65/27,775.61
  6. Step 6: Final answer
    x = 20,977.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.