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Finding the Fourth Proportional to 75,146.89, 103,702.75 and 41,157.52

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Solution

The fourth proportional to 75,146.89, 103,702.75 and 41,157.52 is: 56,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146.89 : 103,702.75 = 41,157.52 : x
  2. Step 2: Convert to fraction form
    75,146.89/103,702.75 = 41,157.52/x
  3. Step 3: Cross multiply
    75,146.89x = 103,702.75 × 41,157.52
  4. Step 4: Simplify right side
    75,146.89x = 4,268,147,645.03
  5. Step 5: Solve for x
    x = 4,268,147,645.03/75,146.89
  6. Step 6: Final answer
    x = 56,797.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.