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Finding the Fourth Proportional to 61,692.96, 92,312.12 and 54,616.80

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Solution

The fourth proportional to 61,692.96, 92,312.12 and 54,616.80 is: 81,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,692.96 : 92,312.12 = 54,616.80 : x
  2. Step 2: Convert to fraction form
    61,692.96/92,312.12 = 54,616.80/x
  3. Step 3: Cross multiply
    61,692.96x = 92,312.12 × 54,616.80
  4. Step 4: Simplify right side
    61,692.96x = 5,041,792,595.62
  5. Step 5: Solve for x
    x = 5,041,792,595.62/61,692.96
  6. Step 6: Final answer
    x = 81,723.95

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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.