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Finding the Fourth Proportional to 30,182.56, 45,275.68 and 10,190.40

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Solution

The fourth proportional to 30,182.56, 45,275.68 and 10,190.40 is: 15,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.56 : 45,275.68 = 10,190.40 : x
  2. Step 2: Convert to fraction form
    30,182.56/45,275.68 = 10,190.40/x
  3. Step 3: Cross multiply
    30,182.56x = 45,275.68 × 10,190.40
  4. Step 4: Simplify right side
    30,182.56x = 461,377,289.47
  5. Step 5: Solve for x
    x = 461,377,289.47/30,182.56
  6. Step 6: Final answer
    x = 15,286.22

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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.