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Finding the Fourth Proportional to 84,722.16, 127,083.72 and 22,392

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Solution

The fourth proportional to 84,722.16, 127,083.72 and 22,392 is: 33,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,722.16 : 127,083.72 = 22,392 : x
  2. Step 2: Convert to fraction form
    84,722.16/127,083.72 = 22,392/x
  3. Step 3: Cross multiply
    84,722.16x = 127,083.72 × 22,392
  4. Step 4: Simplify right side
    84,722.16x = 2,845,658,658.24
  5. Step 5: Solve for x
    x = 2,845,658,658.24/84,722.16
  6. Step 6: Final answer
    x = 33,588.13

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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.