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Finding the Fourth Proportional to 98,217.26, 147,326.16 and 31,662.26

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Solution

The fourth proportional to 98,217.26, 147,326.16 and 31,662.26 is: 47,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,217.26 : 147,326.16 = 31,662.26 : x
  2. Step 2: Convert to fraction form
    98,217.26/147,326.16 = 31,662.26/x
  3. Step 3: Cross multiply
    98,217.26x = 147,326.16 × 31,662.26
  4. Step 4: Simplify right side
    98,217.26x = 4,664,679,182.72
  5. Step 5: Solve for x
    x = 4,664,679,182.72/98,217.26
  6. Step 6: Final answer
    x = 47,493.48

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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.