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Finding the Fourth Proportional to 51,297.77, 70,792.11 and 32,178.34

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Solution

The fourth proportional to 51,297.77, 70,792.11 and 32,178.34 is: 44,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297.77 : 70,792.11 = 32,178.34 : x
  2. Step 2: Convert to fraction form
    51,297.77/70,792.11 = 32,178.34/x
  3. Step 3: Cross multiply
    51,297.77x = 70,792.11 × 32,178.34
  4. Step 4: Simplify right side
    51,297.77x = 2,277,972,854.39
  5. Step 5: Solve for x
    x = 2,277,972,854.39/51,297.77
  6. Step 6: Final answer
    x = 44,406.86

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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.