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Finding the Fourth Proportional to 29,833.63, 44,653.05 and 21,934.06

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Solution

The fourth proportional to 29,833.63, 44,653.05 and 21,934.06 is: 32,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.63 : 44,653.05 = 21,934.06 : x
  2. Step 2: Convert to fraction form
    29,833.63/44,653.05 = 21,934.06/x
  3. Step 3: Cross multiply
    29,833.63x = 44,653.05 × 21,934.06
  4. Step 4: Simplify right side
    29,833.63x = 979,422,677.88
  5. Step 5: Solve for x
    x = 979,422,677.88/29,833.63
  6. Step 6: Final answer
    x = 32,829.48

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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.