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Finding the Fourth Proportional to 78,804.92, 118,213.14 and 22,642.76

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Solution

The fourth proportional to 78,804.92, 118,213.14 and 22,642.76 is: 33,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804.92 : 118,213.14 = 22,642.76 : x
  2. Step 2: Convert to fraction form
    78,804.92/118,213.14 = 22,642.76/x
  3. Step 3: Cross multiply
    78,804.92x = 118,213.14 × 22,642.76
  4. Step 4: Simplify right side
    78,804.92x = 2,676,671,757.87
  5. Step 5: Solve for x
    x = 2,676,671,757.87/78,804.92
  6. Step 6: Final answer
    x = 33,965.80

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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.