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Finding the Fourth Proportional to 75,031.44, 112,578.75 and 32,889.77

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Solution

The fourth proportional to 75,031.44, 112,578.75 and 32,889.77 is: 49,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,031.44 : 112,578.75 = 32,889.77 : x
  2. Step 2: Convert to fraction form
    75,031.44/112,578.75 = 32,889.77/x
  3. Step 3: Cross multiply
    75,031.44x = 112,578.75 × 32,889.77
  4. Step 4: Simplify right side
    75,031.44x = 3,702,689,194.39
  5. Step 5: Solve for x
    x = 3,702,689,194.39/75,031.44
  6. Step 6: Final answer
    x = 49,348.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.