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Finding the Fourth Proportional to 51,634, 71,255.70 and 30,123.16

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Solution

The fourth proportional to 51,634, 71,255.70 and 30,123.16 is: 41,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,634 : 71,255.70 = 30,123.16 : x
  2. Step 2: Convert to fraction form
    51,634/71,255.70 = 30,123.16/x
  3. Step 3: Cross multiply
    51,634x = 71,255.70 × 30,123.16
  4. Step 4: Simplify right side
    51,634x = 2,146,446,852.01
  5. Step 5: Solve for x
    x = 2,146,446,852.01/51,634
  6. Step 6: Final answer
    x = 41,570.42

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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.