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Finding the Fourth Proportional to 66,321.24, 99,478.62 and 24,765

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Solution

The fourth proportional to 66,321.24, 99,478.62 and 24,765 is: 37,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,321.24 : 99,478.62 = 24,765 : x
  2. Step 2: Convert to fraction form
    66,321.24/99,478.62 = 24,765/x
  3. Step 3: Cross multiply
    66,321.24x = 99,478.62 × 24,765
  4. Step 4: Simplify right side
    66,321.24x = 2,463,588,024.30
  5. Step 5: Solve for x
    x = 2,463,588,024.30/66,321.24
  6. Step 6: Final answer
    x = 37,146.29

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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.