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Finding the Fourth Proportional to 81,712.58, 122,575.93 and 22,548.25

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Solution

The fourth proportional to 81,712.58, 122,575.93 and 22,548.25 is: 33,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.58 : 122,575.93 = 22,548.25 : x
  2. Step 2: Convert to fraction form
    81,712.58/122,575.93 = 22,548.25/x
  3. Step 3: Cross multiply
    81,712.58x = 122,575.93 × 22,548.25
  4. Step 4: Simplify right side
    81,712.58x = 2,763,872,350.81
  5. Step 5: Solve for x
    x = 2,763,872,350.81/81,712.58
  6. Step 6: Final answer
    x = 33,824.32

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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.