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Finding the Fourth Proportional to 65,067.20, 97,615.20 and 29,998.40

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Solution

The fourth proportional to 65,067.20, 97,615.20 and 29,998.40 is: 45,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,067.20 : 97,615.20 = 29,998.40 : x
  2. Step 2: Convert to fraction form
    65,067.20/97,615.20 = 29,998.40/x
  3. Step 3: Cross multiply
    65,067.20x = 97,615.20 × 29,998.40
  4. Step 4: Simplify right side
    65,067.20x = 2,928,299,815.68
  5. Step 5: Solve for x
    x = 2,928,299,815.68/65,067.20
  6. Step 6: Final answer
    x = 45,004.24

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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.