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Finding the Fourth Proportional to 31,714.95, 47,507.84 and 15,024.39

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Solution

The fourth proportional to 31,714.95, 47,507.84 and 15,024.39 is: 22,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.95 : 47,507.84 = 15,024.39 : x
  2. Step 2: Convert to fraction form
    31,714.95/47,507.84 = 15,024.39/x
  3. Step 3: Cross multiply
    31,714.95x = 47,507.84 × 15,024.39
  4. Step 4: Simplify right side
    31,714.95x = 713,776,241.10
  5. Step 5: Solve for x
    x = 713,776,241.10/31,714.95
  6. Step 6: Final answer
    x = 22,505.99

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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.