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Finding the Fourth Proportional to 49,271, 67,993.98 and 26,915

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Solution

The fourth proportional to 49,271, 67,993.98 and 26,915 is: 37,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271 : 67,993.98 = 26,915 : x
  2. Step 2: Convert to fraction form
    49,271/67,993.98 = 26,915/x
  3. Step 3: Cross multiply
    49,271x = 67,993.98 × 26,915
  4. Step 4: Simplify right side
    49,271x = 1,830,057,971.70
  5. Step 5: Solve for x
    x = 1,830,057,971.70/49,271
  6. Step 6: Final answer
    x = 37,142.70

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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.