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Finding the Fourth Proportional to 113,770.57, 170,649.48 and 34,884.58

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Solution

The fourth proportional to 113,770.57, 170,649.48 and 34,884.58 is: 52,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,770.57 : 170,649.48 = 34,884.58 : x
  2. Step 2: Convert to fraction form
    113,770.57/170,649.48 = 34,884.58/x
  3. Step 3: Cross multiply
    113,770.57x = 170,649.48 × 34,884.58
  4. Step 4: Simplify right side
    113,770.57x = 5,953,035,437.02
  5. Step 5: Solve for x
    x = 5,953,035,437.02/113,770.57
  6. Step 6: Final answer
    x = 52,324.92

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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.