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Finding the Fourth Proportional to 97,785, 146,677.68 and 35,455.68

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Solution

The fourth proportional to 97,785, 146,677.68 and 35,455.68 is: 53,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785 : 146,677.68 = 35,455.68 : x
  2. Step 2: Convert to fraction form
    97,785/146,677.68 = 35,455.68/x
  3. Step 3: Cross multiply
    97,785x = 146,677.68 × 35,455.68
  4. Step 4: Simplify right side
    97,785x = 5,200,556,885.22
  5. Step 5: Solve for x
    x = 5,200,556,885.22/97,785
  6. Step 6: Final answer
    x = 53,183.59

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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.