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Finding the Fourth Proportional to 84,682.80, 127,024.25 and 21,507.66

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Solution

The fourth proportional to 84,682.80, 127,024.25 and 21,507.66 is: 32,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,682.80 : 127,024.25 = 21,507.66 : x
  2. Step 2: Convert to fraction form
    84,682.80/127,024.25 = 21,507.66/x
  3. Step 3: Cross multiply
    84,682.80x = 127,024.25 × 21,507.66
  4. Step 4: Simplify right side
    84,682.80x = 2,731,994,273.22
  5. Step 5: Solve for x
    x = 2,731,994,273.22/84,682.80
  6. Step 6: Final answer
    x = 32,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.