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Finding the Fourth Proportional to 60,142.44, 82,957.86 and 41,289.96

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Solution

The fourth proportional to 60,142.44, 82,957.86 and 41,289.96 is: 56,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,142.44 : 82,957.86 = 41,289.96 : x
  2. Step 2: Convert to fraction form
    60,142.44/82,957.86 = 41,289.96/x
  3. Step 3: Cross multiply
    60,142.44x = 82,957.86 × 41,289.96
  4. Step 4: Simplify right side
    60,142.44x = 3,425,326,721.09
  5. Step 5: Solve for x
    x = 3,425,326,721.09/60,142.44
  6. Step 6: Final answer
    x = 56,953.57

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Why These Related Problems?

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