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Finding the Fourth Proportional to 119,633.76, 179,452.80 and 30,888

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Solution

The fourth proportional to 119,633.76, 179,452.80 and 30,888 is: 46,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,633.76 : 179,452.80 = 30,888 : x
  2. Step 2: Convert to fraction form
    119,633.76/179,452.80 = 30,888/x
  3. Step 3: Cross multiply
    119,633.76x = 179,452.80 × 30,888
  4. Step 4: Simplify right side
    119,633.76x = 5,542,938,086.40
  5. Step 5: Solve for x
    x = 5,542,938,086.40/119,633.76
  6. Step 6: Final answer
    x = 46,332.56

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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.