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Finding the Fourth Proportional to 43,467.76, 60,022.28 and 27,580.40

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Solution

The fourth proportional to 43,467.76, 60,022.28 and 27,580.40 is: 38,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,467.76 : 60,022.28 = 27,580.40 : x
  2. Step 2: Convert to fraction form
    43,467.76/60,022.28 = 27,580.40/x
  3. Step 3: Cross multiply
    43,467.76x = 60,022.28 × 27,580.40
  4. Step 4: Simplify right side
    43,467.76x = 1,655,438,491.31
  5. Step 5: Solve for x
    x = 1,655,438,491.31/43,467.76
  6. Step 6: Final answer
    x = 38,084.28

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Why These Related Problems?

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