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Finding the Fourth Proportional to 55,136.64, 76,089.36 and 29,986.20

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Solution

The fourth proportional to 55,136.64, 76,089.36 and 29,986.20 is: 41,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136.64 : 76,089.36 = 29,986.20 : x
  2. Step 2: Convert to fraction form
    55,136.64/76,089.36 = 29,986.20/x
  3. Step 3: Cross multiply
    55,136.64x = 76,089.36 × 29,986.20
  4. Step 4: Simplify right side
    55,136.64x = 2,281,630,766.83
  5. Step 5: Solve for x
    x = 2,281,630,766.83/55,136.64
  6. Step 6: Final answer
    x = 41,381.39

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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.