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Finding the Fourth Proportional to 37,642.80, 56,135.26 and 32,984.48

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Solution

The fourth proportional to 37,642.80, 56,135.26 and 32,984.48 is: 49,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.80 : 56,135.26 = 32,984.48 : x
  2. Step 2: Convert to fraction form
    37,642.80/56,135.26 = 32,984.48/x
  3. Step 3: Cross multiply
    37,642.80x = 56,135.26 × 32,984.48
  4. Step 4: Simplify right side
    37,642.80x = 1,851,592,360.76
  5. Step 5: Solve for x
    x = 1,851,592,360.76/37,642.80
  6. Step 6: Final answer
    x = 49,188.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.