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Finding the Fourth Proportional to 30,812.24, 46,182.48 and 14,174

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Solution

The fourth proportional to 30,812.24, 46,182.48 and 14,174 is: 21,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.24 : 46,182.48 = 14,174 : x
  2. Step 2: Convert to fraction form
    30,812.24/46,182.48 = 14,174/x
  3. Step 3: Cross multiply
    30,812.24x = 46,182.48 × 14,174
  4. Step 4: Simplify right side
    30,812.24x = 654,590,471.52
  5. Step 5: Solve for x
    x = 654,590,471.52/30,812.24
  6. Step 6: Final answer
    x = 21,244.49

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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.