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Finding the Fourth Proportional to 27,608.52, 38,098.44 and 15,033

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Solution

The fourth proportional to 27,608.52, 38,098.44 and 15,033 is: 20,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.52 : 38,098.44 = 15,033 : x
  2. Step 2: Convert to fraction form
    27,608.52/38,098.44 = 15,033/x
  3. Step 3: Cross multiply
    27,608.52x = 38,098.44 × 15,033
  4. Step 4: Simplify right side
    27,608.52x = 572,733,848.52
  5. Step 5: Solve for x
    x = 572,733,848.52/27,608.52
  6. Step 6: Final answer
    x = 20,744.82

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1.5x scale

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.