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Finding the Fourth Proportional to 55,261.88, 82,904.34 and 18,323

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Solution

The fourth proportional to 55,261.88, 82,904.34 and 18,323 is: 27,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261.88 : 82,904.34 = 18,323 : x
  2. Step 2: Convert to fraction form
    55,261.88/82,904.34 = 18,323/x
  3. Step 3: Cross multiply
    55,261.88x = 82,904.34 × 18,323
  4. Step 4: Simplify right side
    55,261.88x = 1,519,056,221.82
  5. Step 5: Solve for x
    x = 1,519,056,221.82/55,261.88
  6. Step 6: Final answer
    x = 27,488.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.