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Finding the Fourth Proportional to 32,847.76, 49,276.50 and 12,069.64

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Solution

The fourth proportional to 32,847.76, 49,276.50 and 12,069.64 is: 18,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.76 : 49,276.50 = 12,069.64 : x
  2. Step 2: Convert to fraction form
    32,847.76/49,276.50 = 12,069.64/x
  3. Step 3: Cross multiply
    32,847.76x = 49,276.50 × 12,069.64
  4. Step 4: Simplify right side
    32,847.76x = 594,749,615.46
  5. Step 5: Solve for x
    x = 594,749,615.46/32,847.76
  6. Step 6: Final answer
    x = 18,106.25

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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.