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Finding the Fourth Proportional to 40,877.71, 56,401.39 and 23,872.30

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Solution

The fourth proportional to 40,877.71, 56,401.39 and 23,872.30 is: 32,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,877.71 : 56,401.39 = 23,872.30 : x
  2. Step 2: Convert to fraction form
    40,877.71/56,401.39 = 23,872.30/x
  3. Step 3: Cross multiply
    40,877.71x = 56,401.39 × 23,872.30
  4. Step 4: Simplify right side
    40,877.71x = 1,346,430,783.14
  5. Step 5: Solve for x
    x = 1,346,430,783.14/40,877.71
  6. Step 6: Final answer
    x = 32,938.02

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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.