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Finding the Fourth Proportional to 30,286.28, 45,436.98 and 10,565

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Solution

The fourth proportional to 30,286.28, 45,436.98 and 10,565 is: 15,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.28 : 45,436.98 = 10,565 : x
  2. Step 2: Convert to fraction form
    30,286.28/45,436.98 = 10,565/x
  3. Step 3: Cross multiply
    30,286.28x = 45,436.98 × 10,565
  4. Step 4: Simplify right side
    30,286.28x = 480,041,693.70
  5. Step 5: Solve for x
    x = 480,041,693.70/30,286.28
  6. Step 6: Final answer
    x = 15,850.14

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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.