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Finding the Fourth Proportional to 77,146.77, 115,615.05 and 47,171.50

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Solution

The fourth proportional to 77,146.77, 115,615.05 and 47,171.50 is: 70,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,146.77 : 115,615.05 = 47,171.50 : x
  2. Step 2: Convert to fraction form
    77,146.77/115,615.05 = 47,171.50/x
  3. Step 3: Cross multiply
    77,146.77x = 115,615.05 × 47,171.50
  4. Step 4: Simplify right side
    77,146.77x = 5,453,735,331.08
  5. Step 5: Solve for x
    x = 5,453,735,331.08/77,146.77
  6. Step 6: Final answer
    x = 70,692.98

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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.