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Finding the Fourth Proportional to 64,265.52, 96,414.90 and 37,634

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Solution

The fourth proportional to 64,265.52, 96,414.90 and 37,634 is: 56,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,265.52 : 96,414.90 = 37,634 : x
  2. Step 2: Convert to fraction form
    64,265.52/96,414.90 = 37,634/x
  3. Step 3: Cross multiply
    64,265.52x = 96,414.90 × 37,634
  4. Step 4: Simplify right side
    64,265.52x = 3,628,478,346.60
  5. Step 5: Solve for x
    x = 3,628,478,346.60/64,265.52
  6. Step 6: Final answer
    x = 56,460.73

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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.