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Finding the Fourth Proportional to 109,368, 164,067.84 and 34,462.80

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Solution

The fourth proportional to 109,368, 164,067.84 and 34,462.80 is: 51,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368 : 164,067.84 = 34,462.80 : x
  2. Step 2: Convert to fraction form
    109,368/164,067.84 = 34,462.80/x
  3. Step 3: Cross multiply
    109,368x = 164,067.84 × 34,462.80
  4. Step 4: Simplify right side
    109,368x = 5,654,237,156.35
  5. Step 5: Solve for x
    x = 5,654,237,156.35/109,368
  6. Step 6: Final answer
    x = 51,699.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.