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Finding the Fourth Proportional to 64,685.22, 89,265.54 and 37,822.47

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Solution

The fourth proportional to 64,685.22, 89,265.54 and 37,822.47 is: 52,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,685.22 : 89,265.54 = 37,822.47 : x
  2. Step 2: Convert to fraction form
    64,685.22/89,265.54 = 37,822.47/x
  3. Step 3: Cross multiply
    64,685.22x = 89,265.54 × 37,822.47
  4. Step 4: Simplify right side
    64,685.22x = 3,376,243,208.68
  5. Step 5: Solve for x
    x = 3,376,243,208.68/64,685.22
  6. Step 6: Final answer
    x = 52,194.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.