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Finding the Fourth Proportional to 64,906.92, 97,301.82 and 29,828.52

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Solution

The fourth proportional to 64,906.92, 97,301.82 and 29,828.52 is: 44,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,906.92 : 97,301.82 = 29,828.52 : x
  2. Step 2: Convert to fraction form
    64,906.92/97,301.82 = 29,828.52/x
  3. Step 3: Cross multiply
    64,906.92x = 97,301.82 × 29,828.52
  4. Step 4: Simplify right side
    64,906.92x = 2,902,369,283.91
  5. Step 5: Solve for x
    x = 2,902,369,283.91/64,906.92
  6. Step 6: Final answer
    x = 44,715.87

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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.