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Finding the Fourth Proportional to 30,127.49, 45,191.62 and 11,402.50

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Solution

The fourth proportional to 30,127.49, 45,191.62 and 11,402.50 is: 17,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,127.49 : 45,191.62 = 11,402.50 : x
  2. Step 2: Convert to fraction form
    30,127.49/45,191.62 = 11,402.50/x
  3. Step 3: Cross multiply
    30,127.49x = 45,191.62 × 11,402.50
  4. Step 4: Simplify right side
    30,127.49x = 515,297,305.56
  5. Step 5: Solve for x
    x = 515,297,305.56/30,127.49
  6. Step 6: Final answer
    x = 17,103.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.