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Finding the Fourth Proportional to 35,414.92, 53,129.58 and 14,638.42

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Solution

The fourth proportional to 35,414.92, 53,129.58 and 14,638.42 is: 21,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.92 : 53,129.58 = 14,638.42 : x
  2. Step 2: Convert to fraction form
    35,414.92/53,129.58 = 14,638.42/x
  3. Step 3: Cross multiply
    35,414.92x = 53,129.58 × 14,638.42
  4. Step 4: Simplify right side
    35,414.92x = 777,733,106.46
  5. Step 5: Solve for x
    x = 777,733,106.46/35,414.92
  6. Step 6: Final answer
    x = 21,960.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.