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Finding the Fourth Proportional to 34,894.47, 52,347.57 and 16,166.85

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Solution

The fourth proportional to 34,894.47, 52,347.57 and 16,166.85 is: 24,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.47 : 52,347.57 = 16,166.85 : x
  2. Step 2: Convert to fraction form
    34,894.47/52,347.57 = 16,166.85/x
  3. Step 3: Cross multiply
    34,894.47x = 52,347.57 × 16,166.85
  4. Step 4: Simplify right side
    34,894.47x = 846,295,312.05
  5. Step 5: Solve for x
    x = 846,295,312.05/34,894.47
  6. Step 6: Final answer
    x = 24,252.99

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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.