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Finding the Fourth Proportional to 77,692.80, 116,462.40 and 30,883.20

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Solution

The fourth proportional to 77,692.80, 116,462.40 and 30,883.20 is: 46,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692.80 : 116,462.40 = 30,883.20 : x
  2. Step 2: Convert to fraction form
    77,692.80/116,462.40 = 30,883.20/x
  3. Step 3: Cross multiply
    77,692.80x = 116,462.40 × 30,883.20
  4. Step 4: Simplify right side
    77,692.80x = 3,596,731,591.68
  5. Step 5: Solve for x
    x = 3,596,731,591.68/77,692.80
  6. Step 6: Final answer
    x = 46,294.27

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Why These Related Problems?

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