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Finding the Fourth Proportional to 53,638.50, 74,016.23 and 31,831.03

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Solution

The fourth proportional to 53,638.50, 74,016.23 and 31,831.03 is: 43,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,638.50 : 74,016.23 = 31,831.03 : x
  2. Step 2: Convert to fraction form
    53,638.50/74,016.23 = 31,831.03/x
  3. Step 3: Cross multiply
    53,638.50x = 74,016.23 × 31,831.03
  4. Step 4: Simplify right side
    53,638.50x = 2,356,012,533.69
  5. Step 5: Solve for x
    x = 2,356,012,533.69/53,638.50
  6. Step 6: Final answer
    x = 43,923.90

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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.