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Finding the Fourth Proportional to 121,082.34, 181,652.68 and 37,976.34

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Solution

The fourth proportional to 121,082.34, 181,652.68 and 37,976.34 is: 56,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,082.34 : 181,652.68 = 37,976.34 : x
  2. Step 2: Convert to fraction form
    121,082.34/181,652.68 = 37,976.34/x
  3. Step 3: Cross multiply
    121,082.34x = 181,652.68 × 37,976.34
  4. Step 4: Simplify right side
    121,082.34x = 6,898,504,452.64
  5. Step 5: Solve for x
    x = 6,898,504,452.64/121,082.34
  6. Step 6: Final answer
    x = 56,973.66

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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.