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Finding the Fourth Proportional to 85,772.96, 118,303.44 and 58,919.84

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Solution

The fourth proportional to 85,772.96, 118,303.44 and 58,919.84 is: 81,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.96 : 118,303.44 = 58,919.84 : x
  2. Step 2: Convert to fraction form
    85,772.96/118,303.44 = 58,919.84/x
  3. Step 3: Cross multiply
    85,772.96x = 118,303.44 × 58,919.84
  4. Step 4: Simplify right side
    85,772.96x = 6,970,419,756.25
  5. Step 5: Solve for x
    x = 6,970,419,756.25/85,772.96
  6. Step 6: Final answer
    x = 81,265.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.