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Finding the Fourth Proportional to 66,319.24, 99,475.62 and 24,763

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Solution

The fourth proportional to 66,319.24, 99,475.62 and 24,763 is: 37,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,319.24 : 99,475.62 = 24,763 : x
  2. Step 2: Convert to fraction form
    66,319.24/99,475.62 = 24,763/x
  3. Step 3: Cross multiply
    66,319.24x = 99,475.62 × 24,763
  4. Step 4: Simplify right side
    66,319.24x = 2,463,314,778.06
  5. Step 5: Solve for x
    x = 2,463,314,778.06/66,319.24
  6. Step 6: Final answer
    x = 37,143.29

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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.