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Finding the Fourth Proportional to 101,796.34, 152,694.51 and 31,661.68

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Solution

The fourth proportional to 101,796.34, 152,694.51 and 31,661.68 is: 47,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796.34 : 152,694.51 = 31,661.68 : x
  2. Step 2: Convert to fraction form
    101,796.34/152,694.51 = 31,661.68/x
  3. Step 3: Cross multiply
    101,796.34x = 152,694.51 × 31,661.68
  4. Step 4: Simplify right side
    101,796.34x = 4,834,564,713.38
  5. Step 5: Solve for x
    x = 4,834,564,713.38/101,796.34
  6. Step 6: Final answer
    x = 47,492.52

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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.