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Finding the Fourth Proportional to 85,372.80, 128,051.52 and 29,965.44

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Solution

The fourth proportional to 85,372.80, 128,051.52 and 29,965.44 is: 44,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,372.80 : 128,051.52 = 29,965.44 : x
  2. Step 2: Convert to fraction form
    85,372.80/128,051.52 = 29,965.44/x
  3. Step 3: Cross multiply
    85,372.80x = 128,051.52 × 29,965.44
  4. Step 4: Simplify right side
    85,372.80x = 3,837,120,139.47
  5. Step 5: Solve for x
    x = 3,837,120,139.47/85,372.80
  6. Step 6: Final answer
    x = 44,945.46

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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.