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Finding the Fourth Proportional to 64,264, 96,389.52 and 29,194.24

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Solution

The fourth proportional to 64,264, 96,389.52 and 29,194.24 is: 43,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,264 : 96,389.52 = 29,194.24 : x
  2. Step 2: Convert to fraction form
    64,264/96,389.52 = 29,194.24/x
  3. Step 3: Cross multiply
    64,264x = 96,389.52 × 29,194.24
  4. Step 4: Simplify right side
    64,264x = 2,814,018,780.36
  5. Step 5: Solve for x
    x = 2,814,018,780.36/64,264
  6. Step 6: Final answer
    x = 43,788.42

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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.