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Finding the Fourth Proportional to 64,206.25, 88,604.94 and 35,911.96

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Solution

The fourth proportional to 64,206.25, 88,604.94 and 35,911.96 is: 49,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.25 : 88,604.94 = 35,911.96 : x
  2. Step 2: Convert to fraction form
    64,206.25/88,604.94 = 35,911.96/x
  3. Step 3: Cross multiply
    64,206.25x = 88,604.94 × 35,911.96
  4. Step 4: Simplify right side
    64,206.25x = 3,181,977,061.08
  5. Step 5: Solve for x
    x = 3,181,977,061.08/64,206.25
  6. Step 6: Final answer
    x = 49,558.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.