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Finding the Fourth Proportional to 121,015.50, 181,532.84 and 36,782.97

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Solution

The fourth proportional to 121,015.50, 181,532.84 and 36,782.97 is: 55,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,015.50 : 181,532.84 = 36,782.97 : x
  2. Step 2: Convert to fraction form
    121,015.50/181,532.84 = 36,782.97/x
  3. Step 3: Cross multiply
    121,015.50x = 181,532.84 × 36,782.97
  4. Step 4: Simplify right side
    121,015.50x = 6,677,316,823.82
  5. Step 5: Solve for x
    x = 6,677,316,823.82/121,015.50
  6. Step 6: Final answer
    x = 55,177.37

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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.