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Finding the Fourth Proportional to 42,169.75, 63,265 and 29,714.10

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Solution

The fourth proportional to 42,169.75, 63,265 and 29,714.10 is: 44,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,169.75 : 63,265 = 29,714.10 : x
  2. Step 2: Convert to fraction form
    42,169.75/63,265 = 29,714.10/x
  3. Step 3: Cross multiply
    42,169.75x = 63,265 × 29,714.10
  4. Step 4: Simplify right side
    42,169.75x = 1,879,862,536.50
  5. Step 5: Solve for x
    x = 1,879,862,536.50/42,169.75
  6. Step 6: Final answer
    x = 44,578.46

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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.