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Finding the Fourth Proportional to 54,710.64, 82,014.12 and 23,526

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Solution

The fourth proportional to 54,710.64, 82,014.12 and 23,526 is: 35,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,710.64 : 82,014.12 = 23,526 : x
  2. Step 2: Convert to fraction form
    54,710.64/82,014.12 = 23,526/x
  3. Step 3: Cross multiply
    54,710.64x = 82,014.12 × 23,526
  4. Step 4: Simplify right side
    54,710.64x = 1,929,464,187.12
  5. Step 5: Solve for x
    x = 1,929,464,187.12/54,710.64
  6. Step 6: Final answer
    x = 35,266.71

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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.