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Finding the Fourth Proportional to 27,407.44, 37,822.44 and 14,832.16

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Solution

The fourth proportional to 27,407.44, 37,822.44 and 14,832.16 is: 20,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.44 : 37,822.44 = 14,832.16 : x
  2. Step 2: Convert to fraction form
    27,407.44/37,822.44 = 14,832.16/x
  3. Step 3: Cross multiply
    27,407.44x = 37,822.44 × 14,832.16
  4. Step 4: Simplify right side
    27,407.44x = 560,988,481.67
  5. Step 5: Solve for x
    x = 560,988,481.67/27,407.44
  6. Step 6: Final answer
    x = 20,468.47

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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.