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Finding the Fourth Proportional to 65,252.36, 97,857.48 and 18,492.68

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Solution

The fourth proportional to 65,252.36, 97,857.48 and 18,492.68 is: 27,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.36 : 97,857.48 = 18,492.68 : x
  2. Step 2: Convert to fraction form
    65,252.36/97,857.48 = 18,492.68/x
  3. Step 3: Cross multiply
    65,252.36x = 97,857.48 × 18,492.68
  4. Step 4: Simplify right side
    65,252.36x = 1,809,647,063.25
  5. Step 5: Solve for x
    x = 1,809,647,063.25/65,252.36
  6. Step 6: Final answer
    x = 27,733.05

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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.