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Finding the Fourth Proportional to 31,111, 46,666.50 and 9,223

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Solution

The fourth proportional to 31,111, 46,666.50 and 9,223 is: 13,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111 : 46,666.50 = 9,223 : x
  2. Step 2: Convert to fraction form
    31,111/46,666.50 = 9,223/x
  3. Step 3: Cross multiply
    31,111x = 46,666.50 × 9,223
  4. Step 4: Simplify right side
    31,111x = 430,405,129.50
  5. Step 5: Solve for x
    x = 430,405,129.50/31,111
  6. Step 6: Final answer
    x = 13,834.50

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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.