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Finding the Fourth Proportional to 65,242.64, 97,866 and 31,040.96

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Solution

The fourth proportional to 65,242.64, 97,866 and 31,040.96 is: 46,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.64 : 97,866 = 31,040.96 : x
  2. Step 2: Convert to fraction form
    65,242.64/97,866 = 31,040.96/x
  3. Step 3: Cross multiply
    65,242.64x = 97,866 × 31,040.96
  4. Step 4: Simplify right side
    65,242.64x = 3,037,854,102.03
  5. Step 5: Solve for x
    x = 3,037,854,102.03/65,242.64
  6. Step 6: Final answer
    x = 46,562.40

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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.