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Finding the Fourth Proportional to 50,474.17, 75,714.90 and 20,474.00

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Solution

The fourth proportional to 50,474.17, 75,714.90 and 20,474.00 is: 30,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,474.17 : 75,714.90 = 20,474.00 : x
  2. Step 2: Convert to fraction form
    50,474.17/75,714.90 = 20,474.00/x
  3. Step 3: Cross multiply
    50,474.17x = 75,714.90 × 20,474.00
  4. Step 4: Simplify right side
    50,474.17x = 1,550,186,381.66
  5. Step 5: Solve for x
    x = 1,550,186,381.66/50,474.17
  6. Step 6: Final answer
    x = 30,712.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.