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Finding the Fourth Proportional to 56,489.21, 77,962.02 and 32,615.84

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Solution

The fourth proportional to 56,489.21, 77,962.02 and 32,615.84 is: 45,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.21 : 77,962.02 = 32,615.84 : x
  2. Step 2: Convert to fraction form
    56,489.21/77,962.02 = 32,615.84/x
  3. Step 3: Cross multiply
    56,489.21x = 77,962.02 × 32,615.84
  4. Step 4: Simplify right side
    56,489.21x = 2,542,796,965.30
  5. Step 5: Solve for x
    x = 2,542,796,965.30/56,489.21
  6. Step 6: Final answer
    x = 45,013.86

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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.