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Finding the Fourth Proportional to 78,564.20, 117,846.30 and 47,460.20

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Solution

The fourth proportional to 78,564.20, 117,846.30 and 47,460.20 is: 71,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564.20 : 117,846.30 = 47,460.20 : x
  2. Step 2: Convert to fraction form
    78,564.20/117,846.30 = 47,460.20/x
  3. Step 3: Cross multiply
    78,564.20x = 117,846.30 × 47,460.20
  4. Step 4: Simplify right side
    78,564.20x = 5,593,008,967.26
  5. Step 5: Solve for x
    x = 5,593,008,967.26/78,564.20
  6. Step 6: Final answer
    x = 71,190.30

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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.