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Finding the Fourth Proportional to 49,201, 67,897.02 and 27,980.26

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Solution

The fourth proportional to 49,201, 67,897.02 and 27,980.26 is: 38,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201 : 67,897.02 = 27,980.26 : x
  2. Step 2: Convert to fraction form
    49,201/67,897.02 = 27,980.26/x
  3. Step 3: Cross multiply
    49,201x = 67,897.02 × 27,980.26
  4. Step 4: Simplify right side
    49,201x = 1,899,776,272.83
  5. Step 5: Solve for x
    x = 1,899,776,272.83/49,201
  6. Step 6: Final answer
    x = 38,612.55

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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.