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Finding the Fourth Proportional to 96,471, 144,654.84 and 29,893.32

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Solution

The fourth proportional to 96,471, 144,654.84 and 29,893.32 is: 44,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471 : 144,654.84 = 29,893.32 : x
  2. Step 2: Convert to fraction form
    96,471/144,654.84 = 29,893.32/x
  3. Step 3: Cross multiply
    96,471x = 144,654.84 × 29,893.32
  4. Step 4: Simplify right side
    96,471x = 4,324,213,421.67
  5. Step 5: Solve for x
    x = 4,324,213,421.67/96,471
  6. Step 6: Final answer
    x = 44,823.97

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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.