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Finding the Fourth Proportional to 30,019.10, 45,034.68 and 8,959.46

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Solution

The fourth proportional to 30,019.10, 45,034.68 and 8,959.46 is: 13,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.10 : 45,034.68 = 8,959.46 : x
  2. Step 2: Convert to fraction form
    30,019.10/45,034.68 = 8,959.46/x
  3. Step 3: Cross multiply
    30,019.10x = 45,034.68 × 8,959.46
  4. Step 4: Simplify right side
    30,019.10x = 403,486,414.07
  5. Step 5: Solve for x
    x = 403,486,414.07/30,019.10
  6. Step 6: Final answer
    x = 13,440.99

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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.