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Finding the Fourth Proportional to 75,985.70, 113,908.86 and 29,203.34

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Solution

The fourth proportional to 75,985.70, 113,908.86 and 29,203.34 is: 43,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985.70 : 113,908.86 = 29,203.34 : x
  2. Step 2: Convert to fraction form
    75,985.70/113,908.86 = 29,203.34/x
  3. Step 3: Cross multiply
    75,985.70x = 113,908.86 × 29,203.34
  4. Step 4: Simplify right side
    75,985.70x = 3,326,519,167.59
  5. Step 5: Solve for x
    x = 3,326,519,167.59/75,985.70
  6. Step 6: Final answer
    x = 43,778.23

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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.