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Finding the Fourth Proportional to 34,105.74, 47,066.01 and 19,768.34

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Solution

The fourth proportional to 34,105.74, 47,066.01 and 19,768.34 is: 27,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.74 : 47,066.01 = 19,768.34 : x
  2. Step 2: Convert to fraction form
    34,105.74/47,066.01 = 19,768.34/x
  3. Step 3: Cross multiply
    34,105.74x = 47,066.01 × 19,768.34
  4. Step 4: Simplify right side
    34,105.74x = 930,416,652.79
  5. Step 5: Solve for x
    x = 930,416,652.79/34,105.74
  6. Step 6: Final answer
    x = 27,280.35

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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.