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Finding the Fourth Proportional to 30,531.04, 45,799.36 and 9,471.24

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Solution

The fourth proportional to 30,531.04, 45,799.36 and 9,471.24 is: 14,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.04 : 45,799.36 = 9,471.24 : x
  2. Step 2: Convert to fraction form
    30,531.04/45,799.36 = 9,471.24/x
  3. Step 3: Cross multiply
    30,531.04x = 45,799.36 × 9,471.24
  4. Step 4: Simplify right side
    30,531.04x = 433,776,706.73
  5. Step 5: Solve for x
    x = 433,776,706.73/30,531.04
  6. Step 6: Final answer
    x = 14,207.73

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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.