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Finding the Fourth Proportional to 29,831.10, 41,167.02 and 16,403.20

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Solution

The fourth proportional to 29,831.10, 41,167.02 and 16,403.20 is: 22,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.10 : 41,167.02 = 16,403.20 : x
  2. Step 2: Convert to fraction form
    29,831.10/41,167.02 = 16,403.20/x
  3. Step 3: Cross multiply
    29,831.10x = 41,167.02 × 16,403.20
  4. Step 4: Simplify right side
    29,831.10x = 675,270,821.06
  5. Step 5: Solve for x
    x = 675,270,821.06/29,831.10
  6. Step 6: Final answer
    x = 22,636.47

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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.