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Finding the Fourth Proportional to 71,295.72, 106,921.98 and 29,733

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Solution

The fourth proportional to 71,295.72, 106,921.98 and 29,733 is: 44,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295.72 : 106,921.98 = 29,733 : x
  2. Step 2: Convert to fraction form
    71,295.72/106,921.98 = 29,733/x
  3. Step 3: Cross multiply
    71,295.72x = 106,921.98 × 29,733
  4. Step 4: Simplify right side
    71,295.72x = 3,179,111,231.34
  5. Step 5: Solve for x
    x = 3,179,111,231.34/71,295.72
  6. Step 6: Final answer
    x = 44,590.49

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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.