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Finding the Fourth Proportional to 32,807.25, 49,219.70 and 13,099.66

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Solution

The fourth proportional to 32,807.25, 49,219.70 and 13,099.66 is: 19,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.25 : 49,219.70 = 13,099.66 : x
  2. Step 2: Convert to fraction form
    32,807.25/49,219.70 = 13,099.66/x
  3. Step 3: Cross multiply
    32,807.25x = 49,219.70 × 13,099.66
  4. Step 4: Simplify right side
    32,807.25x = 644,761,146.75
  5. Step 5: Solve for x
    x = 644,761,146.75/32,807.25
  6. Step 6: Final answer
    x = 19,653.01

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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.