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Finding the Fourth Proportional to 65,114.52, 97,672.60 and 20,741.10

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Solution

The fourth proportional to 65,114.52, 97,672.60 and 20,741.10 is: 31,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.52 : 97,672.60 = 20,741.10 : x
  2. Step 2: Convert to fraction form
    65,114.52/97,672.60 = 20,741.10/x
  3. Step 3: Cross multiply
    65,114.52x = 97,672.60 × 20,741.10
  4. Step 4: Simplify right side
    65,114.52x = 2,025,837,163.86
  5. Step 5: Solve for x
    x = 2,025,837,163.86/65,114.52
  6. Step 6: Final answer
    x = 31,111.91

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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.