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Finding the Fourth Proportional to 84,642.37, 126,926.65 and 32,014.95

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Solution

The fourth proportional to 84,642.37, 126,926.65 and 32,014.95 is: 48,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.37 : 126,926.65 = 32,014.95 : x
  2. Step 2: Convert to fraction form
    84,642.37/126,926.65 = 32,014.95/x
  3. Step 3: Cross multiply
    84,642.37x = 126,926.65 × 32,014.95
  4. Step 4: Simplify right side
    84,642.37x = 4,063,550,451.34
  5. Step 5: Solve for x
    x = 4,063,550,451.34/84,642.37
  6. Step 6: Final answer
    x = 48,008.47

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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.