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Finding the Fourth Proportional to 30,191.60, 45,295.24 and 11,471.96

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Solution

The fourth proportional to 30,191.60, 45,295.24 and 11,471.96 is: 17,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191.60 : 45,295.24 = 11,471.96 : x
  2. Step 2: Convert to fraction form
    30,191.60/45,295.24 = 11,471.96/x
  3. Step 3: Cross multiply
    30,191.60x = 45,295.24 × 11,471.96
  4. Step 4: Simplify right side
    30,191.60x = 519,625,181.47
  5. Step 5: Solve for x
    x = 519,625,181.47/30,191.60
  6. Step 6: Final answer
    x = 17,210.92

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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.