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Finding the Fourth Proportional to 30,138.42, 45,201.45 and 11,412.00

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Solution

The fourth proportional to 30,138.42, 45,201.45 and 11,412.00 is: 17,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.42 : 45,201.45 = 11,412.00 : x
  2. Step 2: Convert to fraction form
    30,138.42/45,201.45 = 11,412.00/x
  3. Step 3: Cross multiply
    30,138.42x = 45,201.45 × 11,412.00
  4. Step 4: Simplify right side
    30,138.42x = 515,838,721.39
  5. Step 5: Solve for x
    x = 515,838,721.39/30,138.42
  6. Step 6: Final answer
    x = 17,115.65

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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.