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Finding the Fourth Proportional to 61,692.84, 85,135.86 and 34,835.04

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Solution

The fourth proportional to 61,692.84, 85,135.86 and 34,835.04 is: 48,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,692.84 : 85,135.86 = 34,835.04 : x
  2. Step 2: Convert to fraction form
    61,692.84/85,135.86 = 34,835.04/x
  3. Step 3: Cross multiply
    61,692.84x = 85,135.86 × 34,835.04
  4. Step 4: Simplify right side
    61,692.84x = 2,965,711,088.53
  5. Step 5: Solve for x
    x = 2,965,711,088.53/61,692.84
  6. Step 6: Final answer
    x = 48,072.21

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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.