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Finding the Fourth Proportional to 65,052.70, 97,597.41 and 18,305.98

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Solution

The fourth proportional to 65,052.70, 97,597.41 and 18,305.98 is: 27,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.70 : 97,597.41 = 18,305.98 : x
  2. Step 2: Convert to fraction form
    65,052.70/97,597.41 = 18,305.98/x
  3. Step 3: Cross multiply
    65,052.70x = 97,597.41 × 18,305.98
  4. Step 4: Simplify right side
    65,052.70x = 1,786,616,235.51
  5. Step 5: Solve for x
    x = 1,786,616,235.51/65,052.70
  6. Step 6: Final answer
    x = 27,464.14

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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.