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Finding the Fourth Proportional to 113,877.78, 170,818.70 and 34,992.69

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Solution

The fourth proportional to 113,877.78, 170,818.70 and 34,992.69 is: 52,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,877.78 : 170,818.70 = 34,992.69 : x
  2. Step 2: Convert to fraction form
    113,877.78/170,818.70 = 34,992.69/x
  3. Step 3: Cross multiply
    113,877.78x = 170,818.70 × 34,992.69
  4. Step 4: Simplify right side
    113,877.78x = 5,977,405,640.34
  5. Step 5: Solve for x
    x = 5,977,405,640.34/113,877.78
  6. Step 6: Final answer
    x = 52,489.66

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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.