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Finding the Fourth Proportional to 51,617.74, 71,237.19 and 31,475.74

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Solution

The fourth proportional to 51,617.74, 71,237.19 and 31,475.74 is: 43,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,617.74 : 71,237.19 = 31,475.74 : x
  2. Step 2: Convert to fraction form
    51,617.74/71,237.19 = 31,475.74/x
  3. Step 3: Cross multiply
    51,617.74x = 71,237.19 × 31,475.74
  4. Step 4: Simplify right side
    51,617.74x = 2,242,243,270.77
  5. Step 5: Solve for x
    x = 2,242,243,270.77/51,617.74
  6. Step 6: Final answer
    x = 43,439.39

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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.