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Finding the Fourth Proportional to 64,308.44, 96,462.66 and 34,740.20

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Solution

The fourth proportional to 64,308.44, 96,462.66 and 34,740.20 is: 52,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308.44 : 96,462.66 = 34,740.20 : x
  2. Step 2: Convert to fraction form
    64,308.44/96,462.66 = 34,740.20/x
  3. Step 3: Cross multiply
    64,308.44x = 96,462.66 × 34,740.20
  4. Step 4: Simplify right side
    64,308.44x = 3,351,132,100.93
  5. Step 5: Solve for x
    x = 3,351,132,100.93/64,308.44
  6. Step 6: Final answer
    x = 52,110.30

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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.