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Finding the Fourth Proportional to 54,336.34, 74,984.34 and 34,206.54

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Solution

The fourth proportional to 54,336.34, 74,984.34 and 34,206.54 is: 47,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,336.34 : 74,984.34 = 34,206.54 : x
  2. Step 2: Convert to fraction form
    54,336.34/74,984.34 = 34,206.54/x
  3. Step 3: Cross multiply
    54,336.34x = 74,984.34 × 34,206.54
  4. Step 4: Simplify right side
    54,336.34x = 2,564,954,825.58
  5. Step 5: Solve for x
    x = 2,564,954,825.58/54,336.34
  6. Step 6: Final answer
    x = 47,205.15

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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.