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Finding the Fourth Proportional to 84,543.36, 116,692.80 and 52,692.80

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Solution

The fourth proportional to 84,543.36, 116,692.80 and 52,692.80 is: 72,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,543.36 : 116,692.80 = 52,692.80 : x
  2. Step 2: Convert to fraction form
    84,543.36/116,692.80 = 52,692.80/x
  3. Step 3: Cross multiply
    84,543.36x = 116,692.80 × 52,692.80
  4. Step 4: Simplify right side
    84,543.36x = 6,148,870,371.84
  5. Step 5: Solve for x
    x = 6,148,870,371.84/84,543.36
  6. Step 6: Final answer
    x = 72,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.