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Finding the Fourth Proportional to 65,240.98, 97,899.14 and 35,255.32

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Solution

The fourth proportional to 65,240.98, 97,899.14 and 35,255.32 is: 52,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240.98 : 97,899.14 = 35,255.32 : x
  2. Step 2: Convert to fraction form
    65,240.98/97,899.14 = 35,255.32/x
  3. Step 3: Cross multiply
    65,240.98x = 97,899.14 × 35,255.32
  4. Step 4: Simplify right side
    65,240.98x = 3,451,465,508.42
  5. Step 5: Solve for x
    x = 3,451,465,508.42/65,240.98
  6. Step 6: Final answer
    x = 52,903.34

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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.