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Finding the Fourth Proportional to 78,857.40, 118,285.50 and 19,692.68

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Solution

The fourth proportional to 78,857.40, 118,285.50 and 19,692.68 is: 29,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.40 : 118,285.50 = 19,692.68 : x
  2. Step 2: Convert to fraction form
    78,857.40/118,285.50 = 19,692.68/x
  3. Step 3: Cross multiply
    78,857.40x = 118,285.50 × 19,692.68
  4. Step 4: Simplify right side
    78,857.40x = 2,329,358,500.14
  5. Step 5: Solve for x
    x = 2,329,358,500.14/78,857.40
  6. Step 6: Final answer
    x = 29,538.87

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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.