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Finding the Fourth Proportional to 34,218.32, 47,195.04 and 20,592.17

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Solution

The fourth proportional to 34,218.32, 47,195.04 and 20,592.17 is: 28,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,218.32 : 47,195.04 = 20,592.17 : x
  2. Step 2: Convert to fraction form
    34,218.32/47,195.04 = 20,592.17/x
  3. Step 3: Cross multiply
    34,218.32x = 47,195.04 × 20,592.17
  4. Step 4: Simplify right side
    34,218.32x = 971,848,050.86
  5. Step 5: Solve for x
    x = 971,848,050.86/34,218.32
  6. Step 6: Final answer
    x = 28,401.39

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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.