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Finding the Fourth Proportional to 40,940, 56,497.20 and 23,276

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Solution

The fourth proportional to 40,940, 56,497.20 and 23,276 is: 32,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,940 : 56,497.20 = 23,276 : x
  2. Step 2: Convert to fraction form
    40,940/56,497.20 = 23,276/x
  3. Step 3: Cross multiply
    40,940x = 56,497.20 × 23,276
  4. Step 4: Simplify right side
    40,940x = 1,315,028,827.20
  5. Step 5: Solve for x
    x = 1,315,028,827.20/40,940
  6. Step 6: Final answer
    x = 32,120.88

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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.