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Finding the Fourth Proportional to 79,796.40, 110,155.32 and 56,841

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Solution

The fourth proportional to 79,796.40, 110,155.32 and 56,841 is: 78,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,796.40 : 110,155.32 = 56,841 : x
  2. Step 2: Convert to fraction form
    79,796.40/110,155.32 = 56,841/x
  3. Step 3: Cross multiply
    79,796.40x = 110,155.32 × 56,841
  4. Step 4: Simplify right side
    79,796.40x = 6,261,338,544.12
  5. Step 5: Solve for x
    x = 6,261,338,544.12/79,796.40
  6. Step 6: Final answer
    x = 78,466.43

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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.