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Finding the Fourth Proportional to 30,284.28, 45,433.98 and 10,563

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Solution

The fourth proportional to 30,284.28, 45,433.98 and 10,563 is: 15,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.28 : 45,433.98 = 10,563 : x
  2. Step 2: Convert to fraction form
    30,284.28/45,433.98 = 10,563/x
  3. Step 3: Cross multiply
    30,284.28x = 45,433.98 × 10,563
  4. Step 4: Simplify right side
    30,284.28x = 479,919,130.74
  5. Step 5: Solve for x
    x = 479,919,130.74/30,284.28
  6. Step 6: Final answer
    x = 15,847.14

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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.