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Finding the Fourth Proportional to 37,984.33, 52,405.54 and 22,055.68

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Solution

The fourth proportional to 37,984.33, 52,405.54 and 22,055.68 is: 30,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984.33 : 52,405.54 = 22,055.68 : x
  2. Step 2: Convert to fraction form
    37,984.33/52,405.54 = 22,055.68/x
  3. Step 3: Cross multiply
    37,984.33x = 52,405.54 × 22,055.68
  4. Step 4: Simplify right side
    37,984.33x = 1,155,839,820.47
  5. Step 5: Solve for x
    x = 1,155,839,820.47/37,984.33
  6. Step 6: Final answer
    x = 30,429.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.