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Finding the Fourth Proportional to 64,101.68, 96,135.24 and 29,006

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Solution

The fourth proportional to 64,101.68, 96,135.24 and 29,006 is: 43,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101.68 : 96,135.24 = 29,006 : x
  2. Step 2: Convert to fraction form
    64,101.68/96,135.24 = 29,006/x
  3. Step 3: Cross multiply
    64,101.68x = 96,135.24 × 29,006
  4. Step 4: Simplify right side
    64,101.68x = 2,788,498,771.44
  5. Step 5: Solve for x
    x = 2,788,498,771.44/64,101.68
  6. Step 6: Final answer
    x = 43,501.18

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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.