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Finding the Fourth Proportional to 34,449, 47,532.26 and 20,296.68

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Solution

The fourth proportional to 34,449, 47,532.26 and 20,296.68 is: 28,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,449 : 47,532.26 = 20,296.68 : x
  2. Step 2: Convert to fraction form
    34,449/47,532.26 = 20,296.68/x
  3. Step 3: Cross multiply
    34,449x = 47,532.26 × 20,296.68
  4. Step 4: Simplify right side
    34,449x = 964,747,070.90
  5. Step 5: Solve for x
    x = 964,747,070.90/34,449
  6. Step 6: Final answer
    x = 28,005.08

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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.