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Finding the Fourth Proportional to 37,129.72, 51,239.10 and 21,214.12

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Solution

The fourth proportional to 37,129.72, 51,239.10 and 21,214.12 is: 29,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.72 : 51,239.10 = 21,214.12 : x
  2. Step 2: Convert to fraction form
    37,129.72/51,239.10 = 21,214.12/x
  3. Step 3: Cross multiply
    37,129.72x = 51,239.10 × 21,214.12
  4. Step 4: Simplify right side
    37,129.72x = 1,086,992,416.09
  5. Step 5: Solve for x
    x = 1,086,992,416.09/37,129.72
  6. Step 6: Final answer
    x = 29,275.53

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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.