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Finding the Fourth Proportional to 77,512.34, 106,999.54 and 52,395.86

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Solution

The fourth proportional to 77,512.34, 106,999.54 and 52,395.86 is: 72,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.34 : 106,999.54 = 52,395.86 : x
  2. Step 2: Convert to fraction form
    77,512.34/106,999.54 = 52,395.86/x
  3. Step 3: Cross multiply
    77,512.34x = 106,999.54 × 52,395.86
  4. Step 4: Simplify right side
    77,512.34x = 5,606,332,917.90
  5. Step 5: Solve for x
    x = 5,606,332,917.90/77,512.34
  6. Step 6: Final answer
    x = 72,328.26

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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.