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Finding the Fourth Proportional to 64,462.31, 96,722.47 and 34,845.47

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Solution

The fourth proportional to 64,462.31, 96,722.47 and 34,845.47 is: 52,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,462.31 : 96,722.47 = 34,845.47 : x
  2. Step 2: Convert to fraction form
    64,462.31/96,722.47 = 34,845.47/x
  3. Step 3: Cross multiply
    64,462.31x = 96,722.47 × 34,845.47
  4. Step 4: Simplify right side
    64,462.31x = 3,370,339,926.71
  5. Step 5: Solve for x
    x = 3,370,339,926.71/64,462.31
  6. Step 6: Final answer
    x = 52,283.88

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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.