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Finding the Fourth Proportional to 30,562.92, 45,848.16 and 11,843.28

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Solution

The fourth proportional to 30,562.92, 45,848.16 and 11,843.28 is: 17,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.92 : 45,848.16 = 11,843.28 : x
  2. Step 2: Convert to fraction form
    30,562.92/45,848.16 = 11,843.28/x
  3. Step 3: Cross multiply
    30,562.92x = 45,848.16 × 11,843.28
  4. Step 4: Simplify right side
    30,562.92x = 542,992,596.36
  5. Step 5: Solve for x
    x = 542,992,596.36/30,562.92
  6. Step 6: Final answer
    x = 17,766.38

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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.