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Finding the Fourth Proportional to 77,418.96, 106,831.56 and 52,302.48

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Solution

The fourth proportional to 77,418.96, 106,831.56 and 52,302.48 is: 72,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418.96 : 106,831.56 = 52,302.48 : x
  2. Step 2: Convert to fraction form
    77,418.96/106,831.56 = 52,302.48/x
  3. Step 3: Cross multiply
    77,418.96x = 106,831.56 × 52,302.48
  4. Step 4: Simplify right side
    77,418.96x = 5,587,555,530.27
  5. Step 5: Solve for x
    x = 5,587,555,530.27/77,418.96
  6. Step 6: Final answer
    x = 72,172.96

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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.