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Finding the Fourth Proportional to 75,822, 113,728.22 and 29,612.06

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Solution

The fourth proportional to 75,822, 113,728.22 and 29,612.06 is: 44,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,822 : 113,728.22 = 29,612.06 : x
  2. Step 2: Convert to fraction form
    75,822/113,728.22 = 29,612.06/x
  3. Step 3: Cross multiply
    75,822x = 113,728.22 × 29,612.06
  4. Step 4: Simplify right side
    75,822x = 3,367,726,157.63
  5. Step 5: Solve for x
    x = 3,367,726,157.63/75,822
  6. Step 6: Final answer
    x = 44,416.21

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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.