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Finding the Fourth Proportional to 34,128.96, 47,096 and 19,021.12

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Solution

The fourth proportional to 34,128.96, 47,096 and 19,021.12 is: 26,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128.96 : 47,096 = 19,021.12 : x
  2. Step 2: Convert to fraction form
    34,128.96/47,096 = 19,021.12/x
  3. Step 3: Cross multiply
    34,128.96x = 47,096 × 19,021.12
  4. Step 4: Simplify right side
    34,128.96x = 895,818,667.52
  5. Step 5: Solve for x
    x = 895,818,667.52/34,128.96
  6. Step 6: Final answer
    x = 26,248.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.