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Finding the Fourth Proportional to 106,223.77, 159,298.53 and 31,324.03

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Solution

The fourth proportional to 106,223.77, 159,298.53 and 31,324.03 is: 46,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,223.77 : 159,298.53 = 31,324.03 : x
  2. Step 2: Convert to fraction form
    106,223.77/159,298.53 = 31,324.03/x
  3. Step 3: Cross multiply
    106,223.77x = 159,298.53 × 31,324.03
  4. Step 4: Simplify right side
    106,223.77x = 4,989,871,932.68
  5. Step 5: Solve for x
    x = 4,989,871,932.68/106,223.77
  6. Step 6: Final answer
    x = 46,975.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.