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Finding the Fourth Proportional to 30,191.74, 45,277.31 and 11,467.24

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Solution

The fourth proportional to 30,191.74, 45,277.31 and 11,467.24 is: 17,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191.74 : 45,277.31 = 11,467.24 : x
  2. Step 2: Convert to fraction form
    30,191.74/45,277.31 = 11,467.24/x
  3. Step 3: Cross multiply
    30,191.74x = 45,277.31 × 11,467.24
  4. Step 4: Simplify right side
    30,191.74x = 519,205,695.80
  5. Step 5: Solve for x
    x = 519,205,695.80/30,191.74
  6. Step 6: Final answer
    x = 17,196.95

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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.