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Finding the Fourth Proportional to 30,856.56, 46,292.16 and 10,080

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Solution

The fourth proportional to 30,856.56, 46,292.16 and 10,080 is: 15,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.56 : 46,292.16 = 10,080 : x
  2. Step 2: Convert to fraction form
    30,856.56/46,292.16 = 10,080/x
  3. Step 3: Cross multiply
    30,856.56x = 46,292.16 × 10,080
  4. Step 4: Simplify right side
    30,856.56x = 466,624,972.80
  5. Step 5: Solve for x
    x = 466,624,972.80/30,856.56
  6. Step 6: Final answer
    x = 15,122.39

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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.