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Finding the Fourth Proportional to 55,234.53, 76,199.40 and 37,323

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Solution

The fourth proportional to 55,234.53, 76,199.40 and 37,323 is: 51,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.53 : 76,199.40 = 37,323 : x
  2. Step 2: Convert to fraction form
    55,234.53/76,199.40 = 37,323/x
  3. Step 3: Cross multiply
    55,234.53x = 76,199.40 × 37,323
  4. Step 4: Simplify right side
    55,234.53x = 2,843,990,206.20
  5. Step 5: Solve for x
    x = 2,843,990,206.20/55,234.53
  6. Step 6: Final answer
    x = 51,489.35

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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.