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Finding the Fourth Proportional to 77,772.80, 116,582.40 and 38,297.60

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Solution

The fourth proportional to 77,772.80, 116,582.40 and 38,297.60 is: 57,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772.80 : 116,582.40 = 38,297.60 : x
  2. Step 2: Convert to fraction form
    77,772.80/116,582.40 = 38,297.60/x
  3. Step 3: Cross multiply
    77,772.80x = 116,582.40 × 38,297.60
  4. Step 4: Simplify right side
    77,772.80x = 4,464,826,122.24
  5. Step 5: Solve for x
    x = 4,464,826,122.24/77,772.80
  6. Step 6: Final answer
    x = 57,408.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.