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Finding the Fourth Proportional to 29,831.21, 41,167.22 and 16,403.32

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Solution

The fourth proportional to 29,831.21, 41,167.22 and 16,403.32 is: 22,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.21 : 41,167.22 = 16,403.32 : x
  2. Step 2: Convert to fraction form
    29,831.21/41,167.22 = 16,403.32/x
  3. Step 3: Cross multiply
    29,831.21x = 41,167.22 × 16,403.32
  4. Step 4: Simplify right side
    29,831.21x = 675,279,083.17
  5. Step 5: Solve for x
    x = 675,279,083.17/29,831.21
  6. Step 6: Final answer
    x = 22,636.66

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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.