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Finding the Fourth Proportional to 56,410.97, 84,527.46 and 20,823.32

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Solution

The fourth proportional to 56,410.97, 84,527.46 and 20,823.32 is: 31,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410.97 : 84,527.46 = 20,823.32 : x
  2. Step 2: Convert to fraction form
    56,410.97/84,527.46 = 20,823.32/x
  3. Step 3: Cross multiply
    56,410.97x = 84,527.46 × 20,823.32
  4. Step 4: Simplify right side
    56,410.97x = 1,760,142,559.69
  5. Step 5: Solve for x
    x = 1,760,142,559.69/56,410.97
  6. Step 6: Final answer
    x = 31,202.13

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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.