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Finding the Fourth Proportional to 29,356, 44,024.76 and 9,629.97

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Solution

The fourth proportional to 29,356, 44,024.76 and 9,629.97 is: 14,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356 : 44,024.76 = 9,629.97 : x
  2. Step 2: Convert to fraction form
    29,356/44,024.76 = 9,629.97/x
  3. Step 3: Cross multiply
    29,356x = 44,024.76 × 9,629.97
  4. Step 4: Simplify right side
    29,356x = 423,957,118.06
  5. Step 5: Solve for x
    x = 423,957,118.06/29,356
  6. Step 6: Final answer
    x = 14,441.92

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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.