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Finding the Fourth Proportional to 64,456.53, 96,687.42 and 30,705.20

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Solution

The fourth proportional to 64,456.53, 96,687.42 and 30,705.20 is: 46,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,456.53 : 96,687.42 = 30,705.20 : x
  2. Step 2: Convert to fraction form
    64,456.53/96,687.42 = 30,705.20/x
  3. Step 3: Cross multiply
    64,456.53x = 96,687.42 × 30,705.20
  4. Step 4: Simplify right side
    64,456.53x = 2,968,806,568.58
  5. Step 5: Solve for x
    x = 2,968,806,568.58/64,456.53
  6. Step 6: Final answer
    x = 46,059.05

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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.