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Finding the Fourth Proportional to 30,531.68, 45,795.33 and 9,471.18

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Solution

The fourth proportional to 30,531.68, 45,795.33 and 9,471.18 is: 14,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.68 : 45,795.33 = 9,471.18 : x
  2. Step 2: Convert to fraction form
    30,531.68/45,795.33 = 9,471.18/x
  3. Step 3: Cross multiply
    30,531.68x = 45,795.33 × 9,471.18
  4. Step 4: Simplify right side
    30,531.68x = 433,735,750.93
  5. Step 5: Solve for x
    x = 433,735,750.93/30,531.68
  6. Step 6: Final answer
    x = 14,206.09

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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.