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Finding the Fourth Proportional to 32,750, 49,125.08 and 8,126

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Solution

The fourth proportional to 32,750, 49,125.08 and 8,126 is: 12,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750 : 49,125.08 = 8,126 : x
  2. Step 2: Convert to fraction form
    32,750/49,125.08 = 8,126/x
  3. Step 3: Cross multiply
    32,750x = 49,125.08 × 8,126
  4. Step 4: Simplify right side
    32,750x = 399,190,400.08
  5. Step 5: Solve for x
    x = 399,190,400.08/32,750
  6. Step 6: Final answer
    x = 12,189.02

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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.