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Finding the Fourth Proportional to 53,431.66, 73,738.38 and 32,217.76

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Solution

The fourth proportional to 53,431.66, 73,738.38 and 32,217.76 is: 44,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,431.66 : 73,738.38 = 32,217.76 : x
  2. Step 2: Convert to fraction form
    53,431.66/73,738.38 = 32,217.76/x
  3. Step 3: Cross multiply
    53,431.66x = 73,738.38 × 32,217.76
  4. Step 4: Simplify right side
    53,431.66x = 2,375,685,429.63
  5. Step 5: Solve for x
    x = 2,375,685,429.63/53,431.66
  6. Step 6: Final answer
    x = 44,462.13

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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.