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Finding the Fourth Proportional to 101,417.88, 152,094.46 and 34,841.96

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Solution

The fourth proportional to 101,417.88, 152,094.46 and 34,841.96 is: 52,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,417.88 : 152,094.46 = 34,841.96 : x
  2. Step 2: Convert to fraction form
    101,417.88/152,094.46 = 34,841.96/x
  3. Step 3: Cross multiply
    101,417.88x = 152,094.46 × 34,841.96
  4. Step 4: Simplify right side
    101,417.88x = 5,299,269,091.54
  5. Step 5: Solve for x
    x = 5,299,269,091.54/101,417.88
  6. Step 6: Final answer
    x = 52,251.82

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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.