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Finding the Fourth Proportional to 96,770.64, 145,165.14 and 37,610.88

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Solution

The fourth proportional to 96,770.64, 145,165.14 and 37,610.88 is: 56,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,770.64 : 145,165.14 = 37,610.88 : x
  2. Step 2: Convert to fraction form
    96,770.64/145,165.14 = 37,610.88/x
  3. Step 3: Cross multiply
    96,770.64x = 145,165.14 × 37,610.88
  4. Step 4: Simplify right side
    96,770.64x = 5,459,788,660.72
  5. Step 5: Solve for x
    x = 5,459,788,660.72/96,770.64
  6. Step 6: Final answer
    x = 56,419.89

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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.