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Finding the Fourth Proportional to 84,733.54, 127,024.81 and 32,179.93

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Solution

The fourth proportional to 84,733.54, 127,024.81 and 32,179.93 is: 48,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,733.54 : 127,024.81 = 32,179.93 : x
  2. Step 2: Convert to fraction form
    84,733.54/127,024.81 = 32,179.93/x
  3. Step 3: Cross multiply
    84,733.54x = 127,024.81 × 32,179.93
  4. Step 4: Simplify right side
    84,733.54x = 4,087,649,810.57
  5. Step 5: Solve for x
    x = 4,087,649,810.57/84,733.54
  6. Step 6: Final answer
    x = 48,241.22

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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.