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Finding the Fourth Proportional to 30,288.28, 45,439.98 and 10,567

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Solution

The fourth proportional to 30,288.28, 45,439.98 and 10,567 is: 15,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.28 : 45,439.98 = 10,567 : x
  2. Step 2: Convert to fraction form
    30,288.28/45,439.98 = 10,567/x
  3. Step 3: Cross multiply
    30,288.28x = 45,439.98 × 10,567
  4. Step 4: Simplify right side
    30,288.28x = 480,164,268.66
  5. Step 5: Solve for x
    x = 480,164,268.66/30,288.28
  6. Step 6: Final answer
    x = 15,853.14

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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.