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Finding the Fourth Proportional to 31,093.84, 42,908.25 and 16,946.38

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Solution

The fourth proportional to 31,093.84, 42,908.25 and 16,946.38 is: 23,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.84 : 42,908.25 = 16,946.38 : x
  2. Step 2: Convert to fraction form
    31,093.84/42,908.25 = 16,946.38/x
  3. Step 3: Cross multiply
    31,093.84x = 42,908.25 × 16,946.38
  4. Step 4: Simplify right side
    31,093.84x = 727,139,509.64
  5. Step 5: Solve for x
    x = 727,139,509.64/31,093.84
  6. Step 6: Final answer
    x = 23,385.32

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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.