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Finding the Fourth Proportional to 27,102.48, 40,653.72 and 17,866.32

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Solution

The fourth proportional to 27,102.48, 40,653.72 and 17,866.32 is: 26,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.48 : 40,653.72 = 17,866.32 : x
  2. Step 2: Convert to fraction form
    27,102.48/40,653.72 = 17,866.32/x
  3. Step 3: Cross multiply
    27,102.48x = 40,653.72 × 17,866.32
  4. Step 4: Simplify right side
    27,102.48x = 726,332,370.71
  5. Step 5: Solve for x
    x = 726,332,370.71/27,102.48
  6. Step 6: Final answer
    x = 26,799.48

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1.5x scale

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.