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Finding the Fourth Proportional to 64,902.60, 89,566.75 and 38,064.46

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Solution

The fourth proportional to 64,902.60, 89,566.75 and 38,064.46 is: 52,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.60 : 89,566.75 = 38,064.46 : x
  2. Step 2: Convert to fraction form
    64,902.60/89,566.75 = 38,064.46/x
  3. Step 3: Cross multiply
    64,902.60x = 89,566.75 × 38,064.46
  4. Step 4: Simplify right side
    64,902.60x = 3,409,309,972.71
  5. Step 5: Solve for x
    x = 3,409,309,972.71/64,902.60
  6. Step 6: Final answer
    x = 52,529.64

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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.