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Finding the Fourth Proportional to 30,191.10, 45,294.48 and 11,471.46

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Solution

The fourth proportional to 30,191.10, 45,294.48 and 11,471.46 is: 17,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191.10 : 45,294.48 = 11,471.46 : x
  2. Step 2: Convert to fraction form
    30,191.10/45,294.48 = 11,471.46/x
  3. Step 3: Cross multiply
    30,191.10x = 45,294.48 × 11,471.46
  4. Step 4: Simplify right side
    30,191.10x = 519,593,815.54
  5. Step 5: Solve for x
    x = 519,593,815.54/30,191.10
  6. Step 6: Final answer
    x = 17,210.17

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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.