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Finding the Fourth Proportional to 68,841.23, 103,292.79 and 37,214.24

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Solution

The fourth proportional to 68,841.23, 103,292.79 and 37,214.24 is: 55,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,841.23 : 103,292.79 = 37,214.24 : x
  2. Step 2: Convert to fraction form
    68,841.23/103,292.79 = 37,214.24/x
  3. Step 3: Cross multiply
    68,841.23x = 103,292.79 × 37,214.24
  4. Step 4: Simplify right side
    68,841.23x = 3,843,962,021.31
  5. Step 5: Solve for x
    x = 3,843,962,021.31/68,841.23
  6. Step 6: Final answer
    x = 55,838.08

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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.