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Finding the Fourth Proportional to 30,034.05, 45,023.86 and 14,229.19

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Solution

The fourth proportional to 30,034.05, 45,023.86 and 14,229.19 is: 21,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.05 : 45,023.86 = 14,229.19 : x
  2. Step 2: Convert to fraction form
    30,034.05/45,023.86 = 14,229.19/x
  3. Step 3: Cross multiply
    30,034.05x = 45,023.86 × 14,229.19
  4. Step 4: Simplify right side
    30,034.05x = 640,653,058.47
  5. Step 5: Solve for x
    x = 640,653,058.47/30,034.05
  6. Step 6: Final answer
    x = 21,330.89

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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.