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Finding the Fourth Proportional to 54,673.36, 82,035.96 and 32,530.48

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Solution

The fourth proportional to 54,673.36, 82,035.96 and 32,530.48 is: 48,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,673.36 : 82,035.96 = 32,530.48 : x
  2. Step 2: Convert to fraction form
    54,673.36/82,035.96 = 32,530.48/x
  3. Step 3: Cross multiply
    54,673.36x = 82,035.96 × 32,530.48
  4. Step 4: Simplify right side
    54,673.36x = 2,668,669,156.06
  5. Step 5: Solve for x
    x = 2,668,669,156.06/54,673.36
  6. Step 6: Final answer
    x = 48,811.14

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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.