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Finding the Fourth Proportional to 78,420.09, 117,564 and 34,013.40

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Solution

The fourth proportional to 78,420.09, 117,564 and 34,013.40 is: 50,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.09 : 117,564 = 34,013.40 : x
  2. Step 2: Convert to fraction form
    78,420.09/117,564 = 34,013.40/x
  3. Step 3: Cross multiply
    78,420.09x = 117,564 × 34,013.40
  4. Step 4: Simplify right side
    78,420.09x = 3,998,751,357.60
  5. Step 5: Solve for x
    x = 3,998,751,357.60/78,420.09
  6. Step 6: Final answer
    x = 50,991.42

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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.