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Finding the Fourth Proportional to 30,887.34, 46,293.75 and 14,224.56

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Solution

The fourth proportional to 30,887.34, 46,293.75 and 14,224.56 is: 21,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,887.34 : 46,293.75 = 14,224.56 : x
  2. Step 2: Convert to fraction form
    30,887.34/46,293.75 = 14,224.56/x
  3. Step 3: Cross multiply
    30,887.34x = 46,293.75 × 14,224.56
  4. Step 4: Simplify right side
    30,887.34x = 658,508,224.50
  5. Step 5: Solve for x
    x = 658,508,224.50/30,887.34
  6. Step 6: Final answer
    x = 21,319.68

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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.