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Finding the Fourth Proportional to 49,206, 67,904.52 and 26,850

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Solution

The fourth proportional to 49,206, 67,904.52 and 26,850 is: 37,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206 : 67,904.52 = 26,850 : x
  2. Step 2: Convert to fraction form
    49,206/67,904.52 = 26,850/x
  3. Step 3: Cross multiply
    49,206x = 67,904.52 × 26,850
  4. Step 4: Simplify right side
    49,206x = 1,823,236,362
  5. Step 5: Solve for x
    x = 1,823,236,362/49,206
  6. Step 6: Final answer
    x = 37,053.13

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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.