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Finding the Fourth Proportional to 101,600.37, 152,498.97 and 49,046.76

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Solution

The fourth proportional to 101,600.37, 152,498.97 and 49,046.76 is: 73,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,600.37 : 152,498.97 = 49,046.76 : x
  2. Step 2: Convert to fraction form
    101,600.37/152,498.97 = 49,046.76/x
  3. Step 3: Cross multiply
    101,600.37x = 152,498.97 × 49,046.76
  4. Step 4: Simplify right side
    101,600.37x = 7,479,580,381.84
  5. Step 5: Solve for x
    x = 7,479,580,381.84/101,600.37
  6. Step 6: Final answer
    x = 73,617.65

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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.