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Finding the Fourth Proportional to 101,159.10, 151,738.65 and 31,029.30

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Solution

The fourth proportional to 101,159.10, 151,738.65 and 31,029.30 is: 46,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,159.10 : 151,738.65 = 31,029.30 : x
  2. Step 2: Convert to fraction form
    101,159.10/151,738.65 = 31,029.30/x
  3. Step 3: Cross multiply
    101,159.10x = 151,738.65 × 31,029.30
  4. Step 4: Simplify right side
    101,159.10x = 4,708,344,092.45
  5. Step 5: Solve for x
    x = 4,708,344,092.45/101,159.10
  6. Step 6: Final answer
    x = 46,543.95

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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.