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Finding the Fourth Proportional to 75,183.88, 103,714.36 and 46,494.40

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Solution

The fourth proportional to 75,183.88, 103,714.36 and 46,494.40 is: 64,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,183.88 : 103,714.36 = 46,494.40 : x
  2. Step 2: Convert to fraction form
    75,183.88/103,714.36 = 46,494.40/x
  3. Step 3: Cross multiply
    75,183.88x = 103,714.36 × 46,494.40
  4. Step 4: Simplify right side
    75,183.88x = 4,822,136,939.58
  5. Step 5: Solve for x
    x = 4,822,136,939.58/75,183.88
  6. Step 6: Final answer
    x = 64,137.91

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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.