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Finding the Fourth Proportional to 51,124.53, 76,690.90 and 17,843.86

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Solution

The fourth proportional to 51,124.53, 76,690.90 and 17,843.86 is: 26,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,124.53 : 76,690.90 = 17,843.86 : x
  2. Step 2: Convert to fraction form
    51,124.53/76,690.90 = 17,843.86/x
  3. Step 3: Cross multiply
    51,124.53x = 76,690.90 × 17,843.86
  4. Step 4: Simplify right side
    51,124.53x = 1,368,461,801.04
  5. Step 5: Solve for x
    x = 1,368,461,801.04/51,124.53
  6. Step 6: Final answer
    x = 26,767.22

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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.