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Finding the Fourth Proportional to 30,871.26, 46,306.71 and 7,497.54

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Solution

The fourth proportional to 30,871.26, 46,306.71 and 7,497.54 is: 11,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.26 : 46,306.71 = 7,497.54 : x
  2. Step 2: Convert to fraction form
    30,871.26/46,306.71 = 7,497.54/x
  3. Step 3: Cross multiply
    30,871.26x = 46,306.71 × 7,497.54
  4. Step 4: Simplify right side
    30,871.26x = 347,186,410.49
  5. Step 5: Solve for x
    x = 347,186,410.49/30,871.26
  6. Step 6: Final answer
    x = 11,246.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.