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Finding the Fourth Proportional to 98,164.99, 147,216.26 and 31,589.60

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Solution

The fourth proportional to 98,164.99, 147,216.26 and 31,589.60 is: 47,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,164.99 : 147,216.26 = 31,589.60 : x
  2. Step 2: Convert to fraction form
    98,164.99/147,216.26 = 31,589.60/x
  3. Step 3: Cross multiply
    98,164.99x = 147,216.26 × 31,589.60
  4. Step 4: Simplify right side
    98,164.99x = 4,650,503,213.91
  5. Step 5: Solve for x
    x = 4,650,503,213.91/98,164.99
  6. Step 6: Final answer
    x = 47,374.36

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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.