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Finding the Fourth Proportional to 24,683.49, 37,025.21 and 8,043.50

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Solution

The fourth proportional to 24,683.49, 37,025.21 and 8,043.50 is: 12,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683.49 : 37,025.21 = 8,043.50 : x
  2. Step 2: Convert to fraction form
    24,683.49/37,025.21 = 8,043.50/x
  3. Step 3: Cross multiply
    24,683.49x = 37,025.21 × 8,043.50
  4. Step 4: Simplify right side
    24,683.49x = 297,812,051.29
  5. Step 5: Solve for x
    x = 297,812,051.29/24,683.49
  6. Step 6: Final answer
    x = 12,065.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.