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Finding the Fourth Proportional to 32,208.14, 48,257.54 and 15,576

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Solution

The fourth proportional to 32,208.14, 48,257.54 and 15,576 is: 23,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.14 : 48,257.54 = 15,576 : x
  2. Step 2: Convert to fraction form
    32,208.14/48,257.54 = 15,576/x
  3. Step 3: Cross multiply
    32,208.14x = 48,257.54 × 15,576
  4. Step 4: Simplify right side
    32,208.14x = 751,659,443.04
  5. Step 5: Solve for x
    x = 751,659,443.04/32,208.14
  6. Step 6: Final answer
    x = 23,337.56

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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.