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Finding the Fourth Proportional to 85,194.30, 127,790.85 and 22,009.02

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Solution

The fourth proportional to 85,194.30, 127,790.85 and 22,009.02 is: 33,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,194.30 : 127,790.85 = 22,009.02 : x
  2. Step 2: Convert to fraction form
    85,194.30/127,790.85 = 22,009.02/x
  3. Step 3: Cross multiply
    85,194.30x = 127,790.85 × 22,009.02
  4. Step 4: Simplify right side
    85,194.30x = 2,812,551,373.47
  5. Step 5: Solve for x
    x = 2,812,551,373.47/85,194.30
  6. Step 6: Final answer
    x = 33,013.37

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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.