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Finding the Fourth Proportional to 55,832, 83,786.40 and 23,000

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Solution

The fourth proportional to 55,832, 83,786.40 and 23,000 is: 34,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,832 : 83,786.40 = 23,000 : x
  2. Step 2: Convert to fraction form
    55,832/83,786.40 = 23,000/x
  3. Step 3: Cross multiply
    55,832x = 83,786.40 × 23,000
  4. Step 4: Simplify right side
    55,832x = 1,927,087,200.00
  5. Step 5: Solve for x
    x = 1,927,087,200.00/55,832
  6. Step 6: Final answer
    x = 34,515.82

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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.