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Finding the Fourth Proportional to 54,881.74, 82,313.03 and 15,429.47

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Solution

The fourth proportional to 54,881.74, 82,313.03 and 15,429.47 is: 23,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,881.74 : 82,313.03 = 15,429.47 : x
  2. Step 2: Convert to fraction form
    54,881.74/82,313.03 = 15,429.47/x
  3. Step 3: Cross multiply
    54,881.74x = 82,313.03 × 15,429.47
  4. Step 4: Simplify right side
    54,881.74x = 1,270,046,671.35
  5. Step 5: Solve for x
    x = 1,270,046,671.35/54,881.74
  6. Step 6: Final answer
    x = 23,141.52

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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.