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Finding the Fourth Proportional to 31,308.82, 46,981.67 and 11,601.11

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Solution

The fourth proportional to 31,308.82, 46,981.67 and 11,601.11 is: 17,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.82 : 46,981.67 = 11,601.11 : x
  2. Step 2: Convert to fraction form
    31,308.82/46,981.67 = 11,601.11/x
  3. Step 3: Cross multiply
    31,308.82x = 46,981.67 × 11,601.11
  4. Step 4: Simplify right side
    31,308.82x = 545,039,581.10
  5. Step 5: Solve for x
    x = 545,039,581.10/31,308.82
  6. Step 6: Final answer
    x = 17,408.50

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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.