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Finding the Fourth Proportional to 78,383.40, 117,595.36 and 34,000

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Solution

The fourth proportional to 78,383.40, 117,595.36 and 34,000 is: 51,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.40 : 117,595.36 = 34,000 : x
  2. Step 2: Convert to fraction form
    78,383.40/117,595.36 = 34,000/x
  3. Step 3: Cross multiply
    78,383.40x = 117,595.36 × 34,000
  4. Step 4: Simplify right side
    78,383.40x = 3,998,242,240
  5. Step 5: Solve for x
    x = 3,998,242,240/78,383.40
  6. Step 6: Final answer
    x = 51,008.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.