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Finding the Fourth Proportional to 45,775.72, 63,153.30 and 27,865

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Solution

The fourth proportional to 45,775.72, 63,153.30 and 27,865 is: 38,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,775.72 : 63,153.30 = 27,865 : x
  2. Step 2: Convert to fraction form
    45,775.72/63,153.30 = 27,865/x
  3. Step 3: Cross multiply
    45,775.72x = 63,153.30 × 27,865
  4. Step 4: Simplify right side
    45,775.72x = 1,759,766,704.50
  5. Step 5: Solve for x
    x = 1,759,766,704.50/45,775.72
  6. Step 6: Final answer
    x = 38,443.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.