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Finding the Fourth Proportional to 49,338, 68,088.06 and 26,982

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Solution

The fourth proportional to 49,338, 68,088.06 and 26,982 is: 37,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,338 : 68,088.06 = 26,982 : x
  2. Step 2: Convert to fraction form
    49,338/68,088.06 = 26,982/x
  3. Step 3: Cross multiply
    49,338x = 68,088.06 × 26,982
  4. Step 4: Simplify right side
    49,338x = 1,837,152,034.92
  5. Step 5: Solve for x
    x = 1,837,152,034.92/49,338
  6. Step 6: Final answer
    x = 37,236.05

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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.