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Finding the Fourth Proportional to 85,422.44, 128,044.50 and 29,246

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Solution

The fourth proportional to 85,422.44, 128,044.50 and 29,246 is: 43,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,422.44 : 128,044.50 = 29,246 : x
  2. Step 2: Convert to fraction form
    85,422.44/128,044.50 = 29,246/x
  3. Step 3: Cross multiply
    85,422.44x = 128,044.50 × 29,246
  4. Step 4: Simplify right side
    85,422.44x = 3,744,789,447
  5. Step 5: Solve for x
    x = 3,744,789,447/85,422.44
  6. Step 6: Final answer
    x = 43,838.47

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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.