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Finding the Fourth Proportional to 32,783.40, 49,175.10 and 12,004.20

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Solution

The fourth proportional to 32,783.40, 49,175.10 and 12,004.20 is: 18,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.40 : 49,175.10 = 12,004.20 : x
  2. Step 2: Convert to fraction form
    32,783.40/49,175.10 = 12,004.20/x
  3. Step 3: Cross multiply
    32,783.40x = 49,175.10 × 12,004.20
  4. Step 4: Simplify right side
    32,783.40x = 590,307,735.42
  5. Step 5: Solve for x
    x = 590,307,735.42/32,783.40
  6. Step 6: Final answer
    x = 18,006.30

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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.