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Finding the Fourth Proportional to 54,729.70, 82,061.64 and 21,410.08

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Solution

The fourth proportional to 54,729.70, 82,061.64 and 21,410.08 is: 32,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729.70 : 82,061.64 = 21,410.08 : x
  2. Step 2: Convert to fraction form
    54,729.70/82,061.64 = 21,410.08/x
  3. Step 3: Cross multiply
    54,729.70x = 82,061.64 × 21,410.08
  4. Step 4: Simplify right side
    54,729.70x = 1,756,946,072.18
  5. Step 5: Solve for x
    x = 1,756,946,072.18/54,729.70
  6. Step 6: Final answer
    x = 32,102.24

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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.