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Finding the Fourth Proportional to 121,047.80, 181,573.02 and 36,821.64

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Solution

The fourth proportional to 121,047.80, 181,573.02 and 36,821.64 is: 55,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,047.80 : 181,573.02 = 36,821.64 : x
  2. Step 2: Convert to fraction form
    121,047.80/181,573.02 = 36,821.64/x
  3. Step 3: Cross multiply
    121,047.80x = 181,573.02 × 36,821.64
  4. Step 4: Simplify right side
    121,047.80x = 6,685,816,376.15
  5. Step 5: Solve for x
    x = 6,685,816,376.15/121,047.80
  6. Step 6: Final answer
    x = 55,232.86

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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.