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Finding the Fourth Proportional to 101,052.92, 151,537.62 and 34,498.40

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Solution

The fourth proportional to 101,052.92, 151,537.62 and 34,498.40 is: 51,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,052.92 : 151,537.62 = 34,498.40 : x
  2. Step 2: Convert to fraction form
    101,052.92/151,537.62 = 34,498.40/x
  3. Step 3: Cross multiply
    101,052.92x = 151,537.62 × 34,498.40
  4. Step 4: Simplify right side
    101,052.92x = 5,227,804,801.49
  5. Step 5: Solve for x
    x = 5,227,804,801.49/101,052.92
  6. Step 6: Final answer
    x = 51,733.34

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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.