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Finding the Fourth Proportional to 40,941, 56,497.74 and 22,791.48

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Solution

The fourth proportional to 40,941, 56,497.74 and 22,791.48 is: 31,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 56,497.74 = 22,791.48 : x
  2. Step 2: Convert to fraction form
    40,941/56,497.74 = 22,791.48/x
  3. Step 3: Cross multiply
    40,941x = 56,497.74 × 22,791.48
  4. Step 4: Simplify right side
    40,941x = 1,287,667,111.26
  5. Step 5: Solve for x
    x = 1,287,667,111.26/40,941
  6. Step 6: Final answer
    x = 31,451.77

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1.5x scale

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.