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Finding the Fourth Proportional to 97,757.79, 146,648.68 and 34,564.83

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Solution

The fourth proportional to 97,757.79, 146,648.68 and 34,564.83 is: 51,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,757.79 : 146,648.68 = 34,564.83 : x
  2. Step 2: Convert to fraction form
    97,757.79/146,648.68 = 34,564.83/x
  3. Step 3: Cross multiply
    97,757.79x = 146,648.68 × 34,564.83
  4. Step 4: Simplify right side
    97,757.79x = 5,068,886,057.58
  5. Step 5: Solve for x
    x = 5,068,886,057.58/97,757.79
  6. Step 6: Final answer
    x = 51,851.48

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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.