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Finding the Fourth Proportional to 45,153.78, 67,772.25 and 22,983

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Solution

The fourth proportional to 45,153.78, 67,772.25 and 22,983 is: 34,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,153.78 : 67,772.25 = 22,983 : x
  2. Step 2: Convert to fraction form
    45,153.78/67,772.25 = 22,983/x
  3. Step 3: Cross multiply
    45,153.78x = 67,772.25 × 22,983
  4. Step 4: Simplify right side
    45,153.78x = 1,557,609,621.75
  5. Step 5: Solve for x
    x = 1,557,609,621.75/45,153.78
  6. Step 6: Final answer
    x = 34,495.66

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1.5x scale

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.