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Finding the Fourth Proportional to 77,636.44, 116,458.98 and 22,231

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Solution

The fourth proportional to 77,636.44, 116,458.98 and 22,231 is: 33,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,636.44 : 116,458.98 = 22,231 : x
  2. Step 2: Convert to fraction form
    77,636.44/116,458.98 = 22,231/x
  3. Step 3: Cross multiply
    77,636.44x = 116,458.98 × 22,231
  4. Step 4: Simplify right side
    77,636.44x = 2,588,999,584.38
  5. Step 5: Solve for x
    x = 2,588,999,584.38/77,636.44
  6. Step 6: Final answer
    x = 33,347.74

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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.