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Finding the Fourth Proportional to 64,638.96, 96,995.40 and 29,578.32

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Solution

The fourth proportional to 64,638.96, 96,995.40 and 29,578.32 is: 44,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638.96 : 96,995.40 = 29,578.32 : x
  2. Step 2: Convert to fraction form
    64,638.96/96,995.40 = 29,578.32/x
  3. Step 3: Cross multiply
    64,638.96x = 96,995.40 × 29,578.32
  4. Step 4: Simplify right side
    64,638.96x = 2,868,960,979.73
  5. Step 5: Solve for x
    x = 2,868,960,979.73/64,638.96
  6. Step 6: Final answer
    x = 44,384.39

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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.