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Finding the Fourth Proportional to 77,356.98, 116,050.06 and 55,115.20

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Solution

The fourth proportional to 77,356.98, 116,050.06 and 55,115.20 is: 82,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.98 : 116,050.06 = 55,115.20 : x
  2. Step 2: Convert to fraction form
    77,356.98/116,050.06 = 55,115.20/x
  3. Step 3: Cross multiply
    77,356.98x = 116,050.06 × 55,115.20
  4. Step 4: Simplify right side
    77,356.98x = 6,396,122,266.91
  5. Step 5: Solve for x
    x = 6,396,122,266.91/77,356.98
  6. Step 6: Final answer
    x = 82,683.20

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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.