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Finding the Fourth Proportional to 36,458, 50,297.64 and 23,024.24

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Solution

The fourth proportional to 36,458, 50,297.64 and 23,024.24 is: 31,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,458 : 50,297.64 = 23,024.24 : x
  2. Step 2: Convert to fraction form
    36,458/50,297.64 = 23,024.24/x
  3. Step 3: Cross multiply
    36,458x = 50,297.64 × 23,024.24
  4. Step 4: Simplify right side
    36,458x = 1,158,064,934.79
  5. Step 5: Solve for x
    x = 1,158,064,934.79/36,458
  6. Step 6: Final answer
    x = 31,764.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.