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Finding the Fourth Proportional to 34,751.52, 52,137 and 13,678.56

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Solution

The fourth proportional to 34,751.52, 52,137 and 13,678.56 is: 20,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.52 : 52,137 = 13,678.56 : x
  2. Step 2: Convert to fraction form
    34,751.52/52,137 = 13,678.56/x
  3. Step 3: Cross multiply
    34,751.52x = 52,137 × 13,678.56
  4. Step 4: Simplify right side
    34,751.52x = 713,159,082.72
  5. Step 5: Solve for x
    x = 713,159,082.72/34,751.52
  6. Step 6: Final answer
    x = 20,521.67

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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.