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Finding the Fourth Proportional to 34,847.90, 52,263.96 and 16,117.65

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Solution

The fourth proportional to 34,847.90, 52,263.96 and 16,117.65 is: 24,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,847.90 : 52,263.96 = 16,117.65 : x
  2. Step 2: Convert to fraction form
    34,847.90/52,263.96 = 16,117.65/x
  3. Step 3: Cross multiply
    34,847.90x = 52,263.96 × 16,117.65
  4. Step 4: Simplify right side
    34,847.90x = 842,372,441.10
  5. Step 5: Solve for x
    x = 842,372,441.10/34,847.90
  6. Step 6: Final answer
    x = 24,172.84

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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.