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Finding the Fourth Proportional to 33,302.32, 49,710.54 and 29,098.49

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Solution

The fourth proportional to 33,302.32, 49,710.54 and 29,098.49 is: 43,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.32 : 49,710.54 = 29,098.49 : x
  2. Step 2: Convert to fraction form
    33,302.32/49,710.54 = 29,098.49/x
  3. Step 3: Cross multiply
    33,302.32x = 49,710.54 × 29,098.49
  4. Step 4: Simplify right side
    33,302.32x = 1,446,501,651.08
  5. Step 5: Solve for x
    x = 1,446,501,651.08/33,302.32
  6. Step 6: Final answer
    x = 43,435.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.