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Finding the Fourth Proportional to 63,856, 95,784.41 and 22,303

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Solution

The fourth proportional to 63,856, 95,784.41 and 22,303 is: 33,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,856 : 95,784.41 = 22,303 : x
  2. Step 2: Convert to fraction form
    63,856/95,784.41 = 22,303/x
  3. Step 3: Cross multiply
    63,856x = 95,784.41 × 22,303
  4. Step 4: Simplify right side
    63,856x = 2,136,279,696.23
  5. Step 5: Solve for x
    x = 2,136,279,696.23/63,856
  6. Step 6: Final answer
    x = 33,454.64

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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.