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Finding the Fourth Proportional to 119,854.64, 179,780.52 and 31,100.24

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Solution

The fourth proportional to 119,854.64, 179,780.52 and 31,100.24 is: 46,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,854.64 : 179,780.52 = 31,100.24 : x
  2. Step 2: Convert to fraction form
    119,854.64/179,780.52 = 31,100.24/x
  3. Step 3: Cross multiply
    119,854.64x = 179,780.52 × 31,100.24
  4. Step 4: Simplify right side
    119,854.64x = 5,591,217,319.32
  5. Step 5: Solve for x
    x = 5,591,217,319.32/119,854.64
  6. Step 6: Final answer
    x = 46,649.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.