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Finding the Fourth Proportional to 29,978.71, 41,365.44 and 17,228.91

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Solution

The fourth proportional to 29,978.71, 41,365.44 and 17,228.91 is: 23,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.71 : 41,365.44 = 17,228.91 : x
  2. Step 2: Convert to fraction form
    29,978.71/41,365.44 = 17,228.91/x
  3. Step 3: Cross multiply
    29,978.71x = 41,365.44 × 17,228.91
  4. Step 4: Simplify right side
    29,978.71x = 712,681,442.87
  5. Step 5: Solve for x
    x = 712,681,442.87/29,978.71
  6. Step 6: Final answer
    x = 23,772.92

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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.