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Finding the Fourth Proportional to 54,481.66, 81,719.61 and 32,004.70

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Solution

The fourth proportional to 54,481.66, 81,719.61 and 32,004.70 is: 48,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,481.66 : 81,719.61 = 32,004.70 : x
  2. Step 2: Convert to fraction form
    54,481.66/81,719.61 = 32,004.70/x
  3. Step 3: Cross multiply
    54,481.66x = 81,719.61 × 32,004.70
  4. Step 4: Simplify right side
    54,481.66x = 2,615,411,602.17
  5. Step 5: Solve for x
    x = 2,615,411,602.17/54,481.66
  6. Step 6: Final answer
    x = 48,005.36

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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.