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Finding the Fourth Proportional to 61,714.54, 92,571.81 and 21,724.10

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Solution

The fourth proportional to 61,714.54, 92,571.81 and 21,724.10 is: 32,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,714.54 : 92,571.81 = 21,724.10 : x
  2. Step 2: Convert to fraction form
    61,714.54/92,571.81 = 21,724.10/x
  3. Step 3: Cross multiply
    61,714.54x = 92,571.81 × 21,724.10
  4. Step 4: Simplify right side
    61,714.54x = 2,011,039,489.05
  5. Step 5: Solve for x
    x = 2,011,039,489.05/61,714.54
  6. Step 6: Final answer
    x = 32,586.16

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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.