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Finding the Fourth Proportional to 64,433.56, 96,614.58 and 22,291

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Solution

The fourth proportional to 64,433.56, 96,614.58 and 22,291 is: 33,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,433.56 : 96,614.58 = 22,291 : x
  2. Step 2: Convert to fraction form
    64,433.56/96,614.58 = 22,291/x
  3. Step 3: Cross multiply
    64,433.56x = 96,614.58 × 22,291
  4. Step 4: Simplify right side
    64,433.56x = 2,153,635,602.78
  5. Step 5: Solve for x
    x = 2,153,635,602.78/64,433.56
  6. Step 6: Final answer
    x = 33,424.13

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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.