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Finding the Fourth Proportional to 55,493.74, 83,231.48 and 23,895.28

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Solution

The fourth proportional to 55,493.74, 83,231.48 and 23,895.28 is: 35,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,493.74 : 83,231.48 = 23,895.28 : x
  2. Step 2: Convert to fraction form
    55,493.74/83,231.48 = 23,895.28/x
  3. Step 3: Cross multiply
    55,493.74x = 83,231.48 × 23,895.28
  4. Step 4: Simplify right side
    55,493.74x = 1,988,839,519.41
  5. Step 5: Solve for x
    x = 1,988,839,519.41/55,493.74
  6. Step 6: Final answer
    x = 35,838.99

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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.