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Finding the Fourth Proportional to 64,853.92, 96,984.42 and 47,144.08

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Solution

The fourth proportional to 64,853.92, 96,984.42 and 47,144.08 is: 70,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,853.92 : 96,984.42 = 47,144.08 : x
  2. Step 2: Convert to fraction form
    64,853.92/96,984.42 = 47,144.08/x
  3. Step 3: Cross multiply
    64,853.92x = 96,984.42 × 47,144.08
  4. Step 4: Simplify right side
    64,853.92x = 4,572,241,255.23
  5. Step 5: Solve for x
    x = 4,572,241,255.23/64,853.92
  6. Step 6: Final answer
    x = 70,500.62

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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.