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Finding the Fourth Proportional to 29,365.92, 40,508.64 and 19,296

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Solution

The fourth proportional to 29,365.92, 40,508.64 and 19,296 is: 26,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,365.92 : 40,508.64 = 19,296 : x
  2. Step 2: Convert to fraction form
    29,365.92/40,508.64 = 19,296/x
  3. Step 3: Cross multiply
    29,365.92x = 40,508.64 × 19,296
  4. Step 4: Simplify right side
    29,365.92x = 781,654,717.44
  5. Step 5: Solve for x
    x = 781,654,717.44/29,365.92
  6. Step 6: Final answer
    x = 26,617.75

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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.