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Finding the Fourth Proportional to 34,246.98, 47,261.16 and 20,100.06

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Solution

The fourth proportional to 34,246.98, 47,261.16 and 20,100.06 is: 27,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246.98 : 47,261.16 = 20,100.06 : x
  2. Step 2: Convert to fraction form
    34,246.98/47,261.16 = 20,100.06/x
  3. Step 3: Cross multiply
    34,246.98x = 47,261.16 × 20,100.06
  4. Step 4: Simplify right side
    34,246.98x = 949,952,151.67
  5. Step 5: Solve for x
    x = 949,952,151.67/34,246.98
  6. Step 6: Final answer
    x = 27,738.28

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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.