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Finding the Fourth Proportional to 98,494.57, 147,745.10 and 31,935.25

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Solution

The fourth proportional to 98,494.57, 147,745.10 and 31,935.25 is: 47,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494.57 : 147,745.10 = 31,935.25 : x
  2. Step 2: Convert to fraction form
    98,494.57/147,745.10 = 31,935.25/x
  3. Step 3: Cross multiply
    98,494.57x = 147,745.10 × 31,935.25
  4. Step 4: Simplify right side
    98,494.57x = 4,718,276,704.78
  5. Step 5: Solve for x
    x = 4,718,276,704.78/98,494.57
  6. Step 6: Final answer
    x = 47,903.93

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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.