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Finding the Fourth Proportional to 52,714, 72,744.90 and 29,742.16

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Solution

The fourth proportional to 52,714, 72,744.90 and 29,742.16 is: 41,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714 : 72,744.90 = 29,742.16 : x
  2. Step 2: Convert to fraction form
    52,714/72,744.90 = 29,742.16/x
  3. Step 3: Cross multiply
    52,714x = 72,744.90 × 29,742.16
  4. Step 4: Simplify right side
    52,714x = 2,163,590,454.98
  5. Step 5: Solve for x
    x = 2,163,590,454.98/52,714
  6. Step 6: Final answer
    x = 41,043.94

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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.