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Finding the Fourth Proportional to 51,641.89, 71,242.14 and 30,410.98

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Solution

The fourth proportional to 51,641.89, 71,242.14 and 30,410.98 is: 41,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.89 : 71,242.14 = 30,410.98 : x
  2. Step 2: Convert to fraction form
    51,641.89/71,242.14 = 30,410.98/x
  3. Step 3: Cross multiply
    51,641.89x = 71,242.14 × 30,410.98
  4. Step 4: Simplify right side
    51,641.89x = 2,166,543,294.70
  5. Step 5: Solve for x
    x = 2,166,543,294.70/51,641.89
  6. Step 6: Final answer
    x = 41,953.21

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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.