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Finding the Fourth Proportional to 30,471.12, 45,700.28 and 8,578

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Solution

The fourth proportional to 30,471.12, 45,700.28 and 8,578 is: 12,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.12 : 45,700.28 = 8,578 : x
  2. Step 2: Convert to fraction form
    30,471.12/45,700.28 = 8,578/x
  3. Step 3: Cross multiply
    30,471.12x = 45,700.28 × 8,578
  4. Step 4: Simplify right side
    30,471.12x = 392,017,001.84
  5. Step 5: Solve for x
    x = 392,017,001.84/30,471.12
  6. Step 6: Final answer
    x = 12,865.20

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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.