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Finding the Fourth Proportional to 30,634.40, 45,947.16 and 9,855.20

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Solution

The fourth proportional to 30,634.40, 45,947.16 and 9,855.20 is: 14,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.40 : 45,947.16 = 9,855.20 : x
  2. Step 2: Convert to fraction form
    30,634.40/45,947.16 = 9,855.20/x
  3. Step 3: Cross multiply
    30,634.40x = 45,947.16 × 9,855.20
  4. Step 4: Simplify right side
    30,634.40x = 452,818,451.23
  5. Step 5: Solve for x
    x = 452,818,451.23/30,634.40
  6. Step 6: Final answer
    x = 14,781.37

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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.