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Finding the Fourth Proportional to 40,924, 56,502.24 and 26,801.92

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Solution

The fourth proportional to 40,924, 56,502.24 and 26,801.92 is: 37,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,924 : 56,502.24 = 26,801.92 : x
  2. Step 2: Convert to fraction form
    40,924/56,502.24 = 26,801.92/x
  3. Step 3: Cross multiply
    40,924x = 56,502.24 × 26,801.92
  4. Step 4: Simplify right side
    40,924x = 1,514,368,516.30
  5. Step 5: Solve for x
    x = 1,514,368,516.30/40,924
  6. Step 6: Final answer
    x = 37,004.41

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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.