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Finding the Fourth Proportional to 39,920.53, 55,094.23 and 29,831.46

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Solution

The fourth proportional to 39,920.53, 55,094.23 and 29,831.46 is: 41,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,920.53 : 55,094.23 = 29,831.46 : x
  2. Step 2: Convert to fraction form
    39,920.53/55,094.23 = 29,831.46/x
  3. Step 3: Cross multiply
    39,920.53x = 55,094.23 × 29,831.46
  4. Step 4: Simplify right side
    39,920.53x = 1,643,540,981.36
  5. Step 5: Solve for x
    x = 1,643,540,981.36/39,920.53
  6. Step 6: Final answer
    x = 41,170.32

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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.