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Finding the Fourth Proportional to 59,823.24, 89,731.62 and 18,267

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Solution

The fourth proportional to 59,823.24, 89,731.62 and 18,267 is: 27,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,823.24 : 89,731.62 = 18,267 : x
  2. Step 2: Convert to fraction form
    59,823.24/89,731.62 = 18,267/x
  3. Step 3: Cross multiply
    59,823.24x = 89,731.62 × 18,267
  4. Step 4: Simplify right side
    59,823.24x = 1,639,127,502.54
  5. Step 5: Solve for x
    x = 1,639,127,502.54/59,823.24
  6. Step 6: Final answer
    x = 27,399.51

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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.