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Finding the Fourth Proportional to 64,275.94, 96,354.87 and 22,146

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Solution

The fourth proportional to 64,275.94, 96,354.87 and 22,146 is: 33,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,275.94 : 96,354.87 = 22,146 : x
  2. Step 2: Convert to fraction form
    64,275.94/96,354.87 = 22,146/x
  3. Step 3: Cross multiply
    64,275.94x = 96,354.87 × 22,146
  4. Step 4: Simplify right side
    64,275.94x = 2,133,874,951.02
  5. Step 5: Solve for x
    x = 2,133,874,951.02/64,275.94
  6. Step 6: Final answer
    x = 33,198.66

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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.