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Finding the Fourth Proportional to 32,940.46, 49,413 and 13,219.03

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Solution

The fourth proportional to 32,940.46, 49,413 and 13,219.03 is: 19,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.46 : 49,413 = 13,219.03 : x
  2. Step 2: Convert to fraction form
    32,940.46/49,413 = 13,219.03/x
  3. Step 3: Cross multiply
    32,940.46x = 49,413 × 13,219.03
  4. Step 4: Simplify right side
    32,940.46x = 653,191,929.39
  5. Step 5: Solve for x
    x = 653,191,929.39/32,940.46
  6. Step 6: Final answer
    x = 19,829.47

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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.