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Finding the Fourth Proportional to 98,325, 147,474.95 and 31,758.21

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Solution

The fourth proportional to 98,325, 147,474.95 and 31,758.21 is: 47,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,325 : 147,474.95 = 31,758.21 : x
  2. Step 2: Convert to fraction form
    98,325/147,474.95 = 31,758.21/x
  3. Step 3: Cross multiply
    98,325x = 147,474.95 × 31,758.21
  4. Step 4: Simplify right side
    98,325x = 4,683,540,273.05
  5. Step 5: Solve for x
    x = 4,683,540,273.05/98,325
  6. Step 6: Final answer
    x = 47,633.26

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1.5x scale

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.