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Finding the Fourth Proportional to 75,029.44, 112,575.75 and 32,887.77

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Solution

The fourth proportional to 75,029.44, 112,575.75 and 32,887.77 is: 49,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,029.44 : 112,575.75 = 32,887.77 : x
  2. Step 2: Convert to fraction form
    75,029.44/112,575.75 = 32,887.77/x
  3. Step 3: Cross multiply
    75,029.44x = 112,575.75 × 32,887.77
  4. Step 4: Simplify right side
    75,029.44x = 3,702,365,553.82
  5. Step 5: Solve for x
    x = 3,702,365,553.82/75,029.44
  6. Step 6: Final answer
    x = 49,345.50

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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.