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Finding the Fourth Proportional to 34,749.57, 52,104.61 and 13,678.19

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Solution

The fourth proportional to 34,749.57, 52,104.61 and 13,678.19 is: 20,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749.57 : 52,104.61 = 13,678.19 : x
  2. Step 2: Convert to fraction form
    34,749.57/52,104.61 = 13,678.19/x
  3. Step 3: Cross multiply
    34,749.57x = 52,104.61 × 13,678.19
  4. Step 4: Simplify right side
    34,749.57x = 712,696,885.72
  5. Step 5: Solve for x
    x = 712,696,885.72/34,749.57
  6. Step 6: Final answer
    x = 20,509.52

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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.