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Finding the Fourth Proportional to 29,822.82, 44,754.73 and 11,117.82

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Solution

The fourth proportional to 29,822.82, 44,754.73 and 11,117.82 is: 16,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.82 : 44,754.73 = 11,117.82 : x
  2. Step 2: Convert to fraction form
    29,822.82/44,754.73 = 11,117.82/x
  3. Step 3: Cross multiply
    29,822.82x = 44,754.73 × 11,117.82
  4. Step 4: Simplify right side
    29,822.82x = 497,575,053.87
  5. Step 5: Solve for x
    x = 497,575,053.87/29,822.82
  6. Step 6: Final answer
    x = 16,684.37

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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.