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Finding the Fourth Proportional to 39,529, 59,289.10 and 9,946.84

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Solution

The fourth proportional to 39,529, 59,289.10 and 9,946.84 is: 14,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,529 : 59,289.10 = 9,946.84 : x
  2. Step 2: Convert to fraction form
    39,529/59,289.10 = 9,946.84/x
  3. Step 3: Cross multiply
    39,529x = 59,289.10 × 9,946.84
  4. Step 4: Simplify right side
    39,529x = 589,739,191.44
  5. Step 5: Solve for x
    x = 589,739,191.44/39,529
  6. Step 6: Final answer
    x = 14,919.15

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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.