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Finding the Fourth Proportional to 27,782.82, 41,655.78 and 15,308.82

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Solution

The fourth proportional to 27,782.82, 41,655.78 and 15,308.82 is: 22,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.82 : 41,655.78 = 15,308.82 : x
  2. Step 2: Convert to fraction form
    27,782.82/41,655.78 = 15,308.82/x
  3. Step 3: Cross multiply
    27,782.82x = 41,655.78 × 15,308.82
  4. Step 4: Simplify right side
    27,782.82x = 637,700,837.98
  5. Step 5: Solve for x
    x = 637,700,837.98/27,782.82
  6. Step 6: Final answer
    x = 22,953.06

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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.