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Finding the Fourth Proportional to 51,653.69, 71,282.09 and 29,297.69

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Solution

The fourth proportional to 51,653.69, 71,282.09 and 29,297.69 is: 40,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653.69 : 71,282.09 = 29,297.69 : x
  2. Step 2: Convert to fraction form
    51,653.69/71,282.09 = 29,297.69/x
  3. Step 3: Cross multiply
    51,653.69x = 71,282.09 × 29,297.69
  4. Step 4: Simplify right side
    51,653.69x = 2,088,400,575.37
  5. Step 5: Solve for x
    x = 2,088,400,575.37/51,653.69
  6. Step 6: Final answer
    x = 40,430.81

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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.