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Finding the Fourth Proportional to 85,071.84, 117,439.38 and 56,796.36

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Solution

The fourth proportional to 85,071.84, 117,439.38 and 56,796.36 is: 78,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,071.84 : 117,439.38 = 56,796.36 : x
  2. Step 2: Convert to fraction form
    85,071.84/117,439.38 = 56,796.36/x
  3. Step 3: Cross multiply
    85,071.84x = 117,439.38 × 56,796.36
  4. Step 4: Simplify right side
    85,071.84x = 6,670,129,304.66
  5. Step 5: Solve for x
    x = 6,670,129,304.66/85,071.84
  6. Step 6: Final answer
    x = 78,405.84

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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.