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Finding the Fourth Proportional to 34,745.46, 52,116.11 and 21,421

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Solution

The fourth proportional to 34,745.46, 52,116.11 and 21,421 is: 32,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.46 : 52,116.11 = 21,421 : x
  2. Step 2: Convert to fraction form
    34,745.46/52,116.11 = 21,421/x
  3. Step 3: Cross multiply
    34,745.46x = 52,116.11 × 21,421
  4. Step 4: Simplify right side
    34,745.46x = 1,116,379,192.31
  5. Step 5: Solve for x
    x = 1,116,379,192.31/34,745.46
  6. Step 6: Final answer
    x = 32,130.22

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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.