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Finding the Fourth Proportional to 64,652.13, 89,221.04 and 35,974.08

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Solution

The fourth proportional to 64,652.13, 89,221.04 and 35,974.08 is: 49,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652.13 : 89,221.04 = 35,974.08 : x
  2. Step 2: Convert to fraction form
    64,652.13/89,221.04 = 35,974.08/x
  3. Step 3: Cross multiply
    64,652.13x = 89,221.04 × 35,974.08
  4. Step 4: Simplify right side
    64,652.13x = 3,209,644,650.77
  5. Step 5: Solve for x
    x = 3,209,644,650.77/64,652.13
  6. Step 6: Final answer
    x = 49,644.84

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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.