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Finding the Fourth Proportional to 65,205.32, 97,741.81 and 37,067.23

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Solution

The fourth proportional to 65,205.32, 97,741.81 and 37,067.23 is: 55,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.32 : 97,741.81 = 37,067.23 : x
  2. Step 2: Convert to fraction form
    65,205.32/97,741.81 = 37,067.23/x
  3. Step 3: Cross multiply
    65,205.32x = 97,741.81 × 37,067.23
  4. Step 4: Simplify right side
    65,205.32x = 3,623,018,228.88
  5. Step 5: Solve for x
    x = 3,623,018,228.88/65,205.32
  6. Step 6: Final answer
    x = 55,563.23

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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.