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Finding the Fourth Proportional to 113,878.70, 170,822.10 and 34,992.80

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Solution

The fourth proportional to 113,878.70, 170,822.10 and 34,992.80 is: 52,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,878.70 : 170,822.10 = 34,992.80 : x
  2. Step 2: Convert to fraction form
    113,878.70/170,822.10 = 34,992.80/x
  3. Step 3: Cross multiply
    113,878.70x = 170,822.10 × 34,992.80
  4. Step 4: Simplify right side
    113,878.70x = 5,977,543,580.88
  5. Step 5: Solve for x
    x = 5,977,543,580.88/113,878.70
  6. Step 6: Final answer
    x = 52,490.44

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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.