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Finding the Fourth Proportional to 31,762.16, 43,831.44 and 17,614.88

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Solution

The fourth proportional to 31,762.16, 43,831.44 and 17,614.88 is: 24,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.16 : 43,831.44 = 17,614.88 : x
  2. Step 2: Convert to fraction form
    31,762.16/43,831.44 = 17,614.88/x
  3. Step 3: Cross multiply
    31,762.16x = 43,831.44 × 17,614.88
  4. Step 4: Simplify right side
    31,762.16x = 772,085,555.83
  5. Step 5: Solve for x
    x = 772,085,555.83/31,762.16
  6. Step 6: Final answer
    x = 24,308.35

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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.