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Finding the Fourth Proportional to 30,871.44, 46,306.76 and 7,497.86

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Solution

The fourth proportional to 30,871.44, 46,306.76 and 7,497.86 is: 11,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.44 : 46,306.76 = 7,497.86 : x
  2. Step 2: Convert to fraction form
    30,871.44/46,306.76 = 7,497.86/x
  3. Step 3: Cross multiply
    30,871.44x = 46,306.76 × 7,497.86
  4. Step 4: Simplify right side
    30,871.44x = 347,201,334.51
  5. Step 5: Solve for x
    x = 347,201,334.51/30,871.44
  6. Step 6: Final answer
    x = 11,246.68

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Why These Related Problems?

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