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Finding the Fourth Proportional to 71,588.82, 107,382.54 and 43,516.63

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Solution

The fourth proportional to 71,588.82, 107,382.54 and 43,516.63 is: 65,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588.82 : 107,382.54 = 43,516.63 : x
  2. Step 2: Convert to fraction form
    71,588.82/107,382.54 = 43,516.63/x
  3. Step 3: Cross multiply
    71,588.82x = 107,382.54 × 43,516.63
  4. Step 4: Simplify right side
    71,588.82x = 4,672,925,955.03
  5. Step 5: Solve for x
    x = 4,672,925,955.03/71,588.82
  6. Step 6: Final answer
    x = 65,274.52

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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.