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Finding the Fourth Proportional to 65,101.56, 97,617.60 and 30,871.32

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Solution

The fourth proportional to 65,101.56, 97,617.60 and 30,871.32 is: 46,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.56 : 97,617.60 = 30,871.32 : x
  2. Step 2: Convert to fraction form
    65,101.56/97,617.60 = 30,871.32/x
  3. Step 3: Cross multiply
    65,101.56x = 97,617.60 × 30,871.32
  4. Step 4: Simplify right side
    65,101.56x = 3,013,584,167.23
  5. Step 5: Solve for x
    x = 3,013,584,167.23/65,101.56
  6. Step 6: Final answer
    x = 46,290.51

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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.