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Finding the Fourth Proportional to 31,203.50, 46,832.99 and 14,572.71

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Solution

The fourth proportional to 31,203.50, 46,832.99 and 14,572.71 is: 21,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.50 : 46,832.99 = 14,572.71 : x
  2. Step 2: Convert to fraction form
    31,203.50/46,832.99 = 14,572.71/x
  3. Step 3: Cross multiply
    31,203.50x = 46,832.99 × 14,572.71
  4. Step 4: Simplify right side
    31,203.50x = 682,483,508.84
  5. Step 5: Solve for x
    x = 682,483,508.84/31,203.50
  6. Step 6: Final answer
    x = 21,872.02

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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.