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Finding the Fourth Proportional to 81,602.91, 122,289.48 and 64,888.70

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Solution

The fourth proportional to 81,602.91, 122,289.48 and 64,888.70 is: 97,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.91 : 122,289.48 = 64,888.70 : x
  2. Step 2: Convert to fraction form
    81,602.91/122,289.48 = 64,888.70/x
  3. Step 3: Cross multiply
    81,602.91x = 122,289.48 × 64,888.70
  4. Step 4: Simplify right side
    81,602.91x = 7,935,204,769.43
  5. Step 5: Solve for x
    x = 7,935,204,769.43/81,602.91
  6. Step 6: Final answer
    x = 97,241.69

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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.