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Finding the Fourth Proportional to 31,166.52, 46,722.02 and 11,440.50

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Solution

The fourth proportional to 31,166.52, 46,722.02 and 11,440.50 is: 17,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.52 : 46,722.02 = 11,440.50 : x
  2. Step 2: Convert to fraction form
    31,166.52/46,722.02 = 11,440.50/x
  3. Step 3: Cross multiply
    31,166.52x = 46,722.02 × 11,440.50
  4. Step 4: Simplify right side
    31,166.52x = 534,523,269.81
  5. Step 5: Solve for x
    x = 534,523,269.81/31,166.52
  6. Step 6: Final answer
    x = 17,150.56

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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.