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Finding the Fourth Proportional to 30,184.80, 45,275.18 and 7,997.69

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Solution

The fourth proportional to 30,184.80, 45,275.18 and 7,997.69 is: 11,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.80 : 45,275.18 = 7,997.69 : x
  2. Step 2: Convert to fraction form
    30,184.80/45,275.18 = 7,997.69/x
  3. Step 3: Cross multiply
    30,184.80x = 45,275.18 × 7,997.69
  4. Step 4: Simplify right side
    30,184.80x = 362,096,587.97
  5. Step 5: Solve for x
    x = 362,096,587.97/30,184.80
  6. Step 6: Final answer
    x = 11,995.99

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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.