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Finding the Fourth Proportional to 98,065.46, 147,097.38 and 27,944.98

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Solution

The fourth proportional to 98,065.46, 147,097.38 and 27,944.98 is: 41,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,065.46 : 147,097.38 = 27,944.98 : x
  2. Step 2: Convert to fraction form
    98,065.46/147,097.38 = 27,944.98/x
  3. Step 3: Cross multiply
    98,065.46x = 147,097.38 × 27,944.98
  4. Step 4: Simplify right side
    98,065.46x = 4,110,633,342.15
  5. Step 5: Solve for x
    x = 4,110,633,342.15/98,065.46
  6. Step 6: Final answer
    x = 41,917.24

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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.