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Finding the Fourth Proportional to 64,902.56, 89,566.70 and 38,064.43

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Solution

The fourth proportional to 64,902.56, 89,566.70 and 38,064.43 is: 52,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.56 : 89,566.70 = 38,064.43 : x
  2. Step 2: Convert to fraction form
    64,902.56/89,566.70 = 38,064.43/x
  3. Step 3: Cross multiply
    64,902.56x = 89,566.70 × 38,064.43
  4. Step 4: Simplify right side
    64,902.56x = 3,409,305,382.48
  5. Step 5: Solve for x
    x = 3,409,305,382.48/64,902.56
  6. Step 6: Final answer
    x = 52,529.60

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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.