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Finding the Fourth Proportional to 30,378.28, 45,565.02 and 9,601.96

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Solution

The fourth proportional to 30,378.28, 45,565.02 and 9,601.96 is: 14,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.28 : 45,565.02 = 9,601.96 : x
  2. Step 2: Convert to fraction form
    30,378.28/45,565.02 = 9,601.96/x
  3. Step 3: Cross multiply
    30,378.28x = 45,565.02 × 9,601.96
  4. Step 4: Simplify right side
    30,378.28x = 437,513,499.44
  5. Step 5: Solve for x
    x = 437,513,499.44/30,378.28
  6. Step 6: Final answer
    x = 14,402.18

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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.