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Finding the Fourth Proportional to 30,585.28, 45,873.60 and 9,806.08

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Solution

The fourth proportional to 30,585.28, 45,873.60 and 9,806.08 is: 14,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.28 : 45,873.60 = 9,806.08 : x
  2. Step 2: Convert to fraction form
    30,585.28/45,873.60 = 9,806.08/x
  3. Step 3: Cross multiply
    30,585.28x = 45,873.60 × 9,806.08
  4. Step 4: Simplify right side
    30,585.28x = 449,840,191.49
  5. Step 5: Solve for x
    x = 449,840,191.49/30,585.28
  6. Step 6: Final answer
    x = 14,707.73

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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.