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Finding the Fourth Proportional to 78,014.40, 117,005.40 and 33,642.60

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Solution

The fourth proportional to 78,014.40, 117,005.40 and 33,642.60 is: 50,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.40 : 117,005.40 = 33,642.60 : x
  2. Step 2: Convert to fraction form
    78,014.40/117,005.40 = 33,642.60/x
  3. Step 3: Cross multiply
    78,014.40x = 117,005.40 × 33,642.60
  4. Step 4: Simplify right side
    78,014.40x = 3,936,365,870.04
  5. Step 5: Solve for x
    x = 3,936,365,870.04/78,014.40
  6. Step 6: Final answer
    x = 50,456.91

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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.