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Finding the Fourth Proportional to 31,041.63, 42,837.39 and 16,894.44

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Solution

The fourth proportional to 31,041.63, 42,837.39 and 16,894.44 is: 23,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.63 : 42,837.39 = 16,894.44 : x
  2. Step 2: Convert to fraction form
    31,041.63/42,837.39 = 16,894.44/x
  3. Step 3: Cross multiply
    31,041.63x = 42,837.39 × 16,894.44
  4. Step 4: Simplify right side
    31,041.63x = 723,713,715.11
  5. Step 5: Solve for x
    x = 723,713,715.11/31,041.63
  6. Step 6: Final answer
    x = 23,314.29

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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.