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Finding the Fourth Proportional to 35,866.34, 49,531.04 and 29,555.46

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Solution

The fourth proportional to 35,866.34, 49,531.04 and 29,555.46 is: 40,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866.34 : 49,531.04 = 29,555.46 : x
  2. Step 2: Convert to fraction form
    35,866.34/49,531.04 = 29,555.46/x
  3. Step 3: Cross multiply
    35,866.34x = 49,531.04 × 29,555.46
  4. Step 4: Simplify right side
    35,866.34x = 1,463,912,671.48
  5. Step 5: Solve for x
    x = 1,463,912,671.48/35,866.34
  6. Step 6: Final answer
    x = 40,815.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.