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Finding the Fourth Proportional to 34,125.16, 51,113.52 and 16,558

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Solution

The fourth proportional to 34,125.16, 51,113.52 and 16,558 is: 24,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.16 : 51,113.52 = 16,558 : x
  2. Step 2: Convert to fraction form
    34,125.16/51,113.52 = 16,558/x
  3. Step 3: Cross multiply
    34,125.16x = 51,113.52 × 16,558
  4. Step 4: Simplify right side
    34,125.16x = 846,337,664.16
  5. Step 5: Solve for x
    x = 846,337,664.16/34,125.16
  6. Step 6: Final answer
    x = 24,800.99

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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.