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Finding the Fourth Proportional to 30,865.17, 46,297.42 and 7,491.61

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Solution

The fourth proportional to 30,865.17, 46,297.42 and 7,491.61 is: 11,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.17 : 46,297.42 = 7,491.61 : x
  2. Step 2: Convert to fraction form
    30,865.17/46,297.42 = 7,491.61/x
  3. Step 3: Cross multiply
    30,865.17x = 46,297.42 × 7,491.61
  4. Step 4: Simplify right side
    30,865.17x = 346,841,945.70
  5. Step 5: Solve for x
    x = 346,841,945.70/30,865.17
  6. Step 6: Final answer
    x = 11,237.32

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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.