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Finding the Fourth Proportional to 30,054.50, 45,092.14 and 11,339.90

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Solution

The fourth proportional to 30,054.50, 45,092.14 and 11,339.90 is: 17,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.50 : 45,092.14 = 11,339.90 : x
  2. Step 2: Convert to fraction form
    30,054.50/45,092.14 = 11,339.90/x
  3. Step 3: Cross multiply
    30,054.50x = 45,092.14 × 11,339.90
  4. Step 4: Simplify right side
    30,054.50x = 511,340,358.39
  5. Step 5: Solve for x
    x = 511,340,358.39/30,054.50
  6. Step 6: Final answer
    x = 17,013.77

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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.