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Finding the Fourth Proportional to 31,111, 46,672.26 and 14,695

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Solution

The fourth proportional to 31,111, 46,672.26 and 14,695 is: 22,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111 : 46,672.26 = 14,695 : x
  2. Step 2: Convert to fraction form
    31,111/46,672.26 = 14,695/x
  3. Step 3: Cross multiply
    31,111x = 46,672.26 × 14,695
  4. Step 4: Simplify right side
    31,111x = 685,848,860.70
  5. Step 5: Solve for x
    x = 685,848,860.70/31,111
  6. Step 6: Final answer
    x = 22,045.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.