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Finding the Fourth Proportional to 64,957.32, 97,439.49 and 18,213.84

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Solution

The fourth proportional to 64,957.32, 97,439.49 and 18,213.84 is: 27,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,957.32 : 97,439.49 = 18,213.84 : x
  2. Step 2: Convert to fraction form
    64,957.32/97,439.49 = 18,213.84/x
  3. Step 3: Cross multiply
    64,957.32x = 97,439.49 × 18,213.84
  4. Step 4: Simplify right side
    64,957.32x = 1,774,747,280.54
  5. Step 5: Solve for x
    x = 1,774,747,280.54/64,957.32
  6. Step 6: Final answer
    x = 27,321.74

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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.