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Finding the Fourth Proportional to 31,137.98, 42,971.36 and 17,711.16

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Solution

The fourth proportional to 31,137.98, 42,971.36 and 17,711.16 is: 24,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.98 : 42,971.36 = 17,711.16 : x
  2. Step 2: Convert to fraction form
    31,137.98/42,971.36 = 17,711.16/x
  3. Step 3: Cross multiply
    31,137.98x = 42,971.36 × 17,711.16
  4. Step 4: Simplify right side
    31,137.98x = 761,072,632.38
  5. Step 5: Solve for x
    x = 761,072,632.38/31,137.98
  6. Step 6: Final answer
    x = 24,441.94

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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.