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Finding the Fourth Proportional to 38,318, 57,476.94 and 12,024.76

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Solution

The fourth proportional to 38,318, 57,476.94 and 12,024.76 is: 18,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,318 : 57,476.94 = 12,024.76 : x
  2. Step 2: Convert to fraction form
    38,318/57,476.94 = 12,024.76/x
  3. Step 3: Cross multiply
    38,318x = 57,476.94 × 12,024.76
  4. Step 4: Simplify right side
    38,318x = 691,146,409.03
  5. Step 5: Solve for x
    x = 691,146,409.03/38,318
  6. Step 6: Final answer
    x = 18,037.12

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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.