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Finding the Fourth Proportional to 97,317.72, 145,989 and 27,197.64

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Solution

The fourth proportional to 97,317.72, 145,989 and 27,197.64 is: 40,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,317.72 : 145,989 = 27,197.64 : x
  2. Step 2: Convert to fraction form
    97,317.72/145,989 = 27,197.64/x
  3. Step 3: Cross multiply
    97,317.72x = 145,989 × 27,197.64
  4. Step 4: Simplify right side
    97,317.72x = 3,970,556,265.96
  5. Step 5: Solve for x
    x = 3,970,556,265.96/97,317.72
  6. Step 6: Final answer
    x = 40,799.93

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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.