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Finding the Fourth Proportional to 55,159.68, 76,120.02 and 30,009

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Solution

The fourth proportional to 55,159.68, 76,120.02 and 30,009 is: 41,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,159.68 : 76,120.02 = 30,009 : x
  2. Step 2: Convert to fraction form
    55,159.68/76,120.02 = 30,009/x
  3. Step 3: Cross multiply
    55,159.68x = 76,120.02 × 30,009
  4. Step 4: Simplify right side
    55,159.68x = 2,284,285,680.18
  5. Step 5: Solve for x
    x = 2,284,285,680.18/55,159.68
  6. Step 6: Final answer
    x = 41,412.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.