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Finding the Fourth Proportional to 35,831.60, 49,449.28 and 19,916.31

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Solution

The fourth proportional to 35,831.60, 49,449.28 and 19,916.31 is: 27,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831.60 : 49,449.28 = 19,916.31 : x
  2. Step 2: Convert to fraction form
    35,831.60/49,449.28 = 19,916.31/x
  3. Step 3: Cross multiply
    35,831.60x = 49,449.28 × 19,916.31
  4. Step 4: Simplify right side
    35,831.60x = 984,847,189.76
  5. Step 5: Solve for x
    x = 984,847,189.76/35,831.60
  6. Step 6: Final answer
    x = 27,485.44

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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.