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Finding the Fourth Proportional to 98,222.82, 147,268.61 and 30,732

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Solution

The fourth proportional to 98,222.82, 147,268.61 and 30,732 is: 46,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,222.82 : 147,268.61 = 30,732 : x
  2. Step 2: Convert to fraction form
    98,222.82/147,268.61 = 30,732/x
  3. Step 3: Cross multiply
    98,222.82x = 147,268.61 × 30,732
  4. Step 4: Simplify right side
    98,222.82x = 4,525,858,922.52
  5. Step 5: Solve for x
    x = 4,525,858,922.52/98,222.82
  6. Step 6: Final answer
    x = 46,077.47

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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.