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Finding the Fourth Proportional to 33,414, 46,098.60 and 22,088.88

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Solution

The fourth proportional to 33,414, 46,098.60 and 22,088.88 is: 30,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414 : 46,098.60 = 22,088.88 : x
  2. Step 2: Convert to fraction form
    33,414/46,098.60 = 22,088.88/x
  3. Step 3: Cross multiply
    33,414x = 46,098.60 × 22,088.88
  4. Step 4: Simplify right side
    33,414x = 1,018,266,443.57
  5. Step 5: Solve for x
    x = 1,018,266,443.57/33,414
  6. Step 6: Final answer
    x = 30,474.25

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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.