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Finding the Fourth Proportional to 98,561.14, 147,788.44 and 31,080.44

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Solution

The fourth proportional to 98,561.14, 147,788.44 and 31,080.44 is: 46,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,561.14 : 147,788.44 = 31,080.44 : x
  2. Step 2: Convert to fraction form
    98,561.14/147,788.44 = 31,080.44/x
  3. Step 3: Cross multiply
    98,561.14x = 147,788.44 × 31,080.44
  4. Step 4: Simplify right side
    98,561.14x = 4,593,330,033.88
  5. Step 5: Solve for x
    x = 4,593,330,033.88/98,561.14
  6. Step 6: Final answer
    x = 46,603.87

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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.