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Finding the Fourth Proportional to 49,013, 67,638.48 and 26,657

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Solution

The fourth proportional to 49,013, 67,638.48 and 26,657 is: 36,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,013 : 67,638.48 = 26,657 : x
  2. Step 2: Convert to fraction form
    49,013/67,638.48 = 26,657/x
  3. Step 3: Cross multiply
    49,013x = 67,638.48 × 26,657
  4. Step 4: Simplify right side
    49,013x = 1,803,038,961.36
  5. Step 5: Solve for x
    x = 1,803,038,961.36/49,013
  6. Step 6: Final answer
    x = 36,786.95

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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.