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Finding the Fourth Proportional to 27,833.25, 41,748.03 and 13,045.47

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Solution

The fourth proportional to 27,833.25, 41,748.03 and 13,045.47 is: 19,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.25 : 41,748.03 = 13,045.47 : x
  2. Step 2: Convert to fraction form
    27,833.25/41,748.03 = 13,045.47/x
  3. Step 3: Cross multiply
    27,833.25x = 41,748.03 × 13,045.47
  4. Step 4: Simplify right side
    27,833.25x = 544,622,672.92
  5. Step 5: Solve for x
    x = 544,622,672.92/27,833.25
  6. Step 6: Final answer
    x = 19,567.34

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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.