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Finding the Fourth Proportional to 31,762.17, 43,831.71 and 17,422.07

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Solution

The fourth proportional to 31,762.17, 43,831.71 and 17,422.07 is: 24,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.17 : 43,831.71 = 17,422.07 : x
  2. Step 2: Convert to fraction form
    31,762.17/43,831.71 = 17,422.07/x
  3. Step 3: Cross multiply
    31,762.17x = 43,831.71 × 17,422.07
  4. Step 4: Simplify right side
    31,762.17x = 763,638,900.68
  5. Step 5: Solve for x
    x = 763,638,900.68/31,762.17
  6. Step 6: Final answer
    x = 24,042.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.