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Finding the Fourth Proportional to 115,183, 172,754.45 and 30,948.87

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Solution

The fourth proportional to 115,183, 172,754.45 and 30,948.87 is: 46,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,183 : 172,754.45 = 30,948.87 : x
  2. Step 2: Convert to fraction form
    115,183/172,754.45 = 30,948.87/x
  3. Step 3: Cross multiply
    115,183x = 172,754.45 × 30,948.87
  4. Step 4: Simplify right side
    115,183x = 5,346,555,014.97
  5. Step 5: Solve for x
    x = 5,346,555,014.97/115,183
  6. Step 6: Final answer
    x = 46,417.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.