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Finding the Fourth Proportional to 29,831.93, 41,168.08 and 16,404.09

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Solution

The fourth proportional to 29,831.93, 41,168.08 and 16,404.09 is: 22,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.93 : 41,168.08 = 16,404.09 : x
  2. Step 2: Convert to fraction form
    29,831.93/41,168.08 = 16,404.09/x
  3. Step 3: Cross multiply
    29,831.93x = 41,168.08 × 16,404.09
  4. Step 4: Simplify right side
    29,831.93x = 675,324,889.45
  5. Step 5: Solve for x
    x = 675,324,889.45/29,831.93
  6. Step 6: Final answer
    x = 22,637.65

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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.