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Finding the Fourth Proportional to 54,658.40, 81,971.40 and 21,359.30

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Solution

The fourth proportional to 54,658.40, 81,971.40 and 21,359.30 is: 32,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.40 : 81,971.40 = 21,359.30 : x
  2. Step 2: Convert to fraction form
    54,658.40/81,971.40 = 21,359.30/x
  3. Step 3: Cross multiply
    54,658.40x = 81,971.40 × 21,359.30
  4. Step 4: Simplify right side
    54,658.40x = 1,750,851,724.02
  5. Step 5: Solve for x
    x = 1,750,851,724.02/54,658.40
  6. Step 6: Final answer
    x = 32,032.62

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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.