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Finding the Fourth Proportional to 31,215.70, 46,801.67 and 11,491.70

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Solution

The fourth proportional to 31,215.70, 46,801.67 and 11,491.70 is: 17,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.70 : 46,801.67 = 11,491.70 : x
  2. Step 2: Convert to fraction form
    31,215.70/46,801.67 = 11,491.70/x
  3. Step 3: Cross multiply
    31,215.70x = 46,801.67 × 11,491.70
  4. Step 4: Simplify right side
    31,215.70x = 537,830,545.86
  5. Step 5: Solve for x
    x = 537,830,545.86/31,215.70
  6. Step 6: Final answer
    x = 17,229.49

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1.5x scale

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.