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Finding the Fourth Proportional to 34,372, 47,426.16 and 20,226.40

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Solution

The fourth proportional to 34,372, 47,426.16 and 20,226.40 is: 27,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,372 : 47,426.16 = 20,226.40 : x
  2. Step 2: Convert to fraction form
    34,372/47,426.16 = 20,226.40/x
  3. Step 3: Cross multiply
    34,372x = 47,426.16 × 20,226.40
  4. Step 4: Simplify right side
    34,372x = 959,260,482.62
  5. Step 5: Solve for x
    x = 959,260,482.62/34,372
  6. Step 6: Final answer
    x = 27,908.20

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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.