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Finding the Fourth Proportional to 30,946.38, 42,705.84 and 16,799.16

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Solution

The fourth proportional to 30,946.38, 42,705.84 and 16,799.16 is: 23,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.38 : 42,705.84 = 16,799.16 : x
  2. Step 2: Convert to fraction form
    30,946.38/42,705.84 = 16,799.16/x
  3. Step 3: Cross multiply
    30,946.38x = 42,705.84 × 16,799.16
  4. Step 4: Simplify right side
    30,946.38x = 717,422,239.09
  5. Step 5: Solve for x
    x = 717,422,239.09/30,946.38
  6. Step 6: Final answer
    x = 23,182.75

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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.