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Finding the Fourth Proportional to 97,575.84, 134,605.12 and 61,705.44

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Solution

The fourth proportional to 97,575.84, 134,605.12 and 61,705.44 is: 85,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,575.84 : 134,605.12 = 61,705.44 : x
  2. Step 2: Convert to fraction form
    97,575.84/134,605.12 = 61,705.44/x
  3. Step 3: Cross multiply
    97,575.84x = 134,605.12 × 61,705.44
  4. Step 4: Simplify right side
    97,575.84x = 8,305,868,155.85
  5. Step 5: Solve for x
    x = 8,305,868,155.85/97,575.84
  6. Step 6: Final answer
    x = 85,122.18

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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.