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Finding the Fourth Proportional to 30,901.76, 46,327.68 and 12,416

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Solution

The fourth proportional to 30,901.76, 46,327.68 and 12,416 is: 18,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.76 : 46,327.68 = 12,416 : x
  2. Step 2: Convert to fraction form
    30,901.76/46,327.68 = 12,416/x
  3. Step 3: Cross multiply
    30,901.76x = 46,327.68 × 12,416
  4. Step 4: Simplify right side
    30,901.76x = 575,204,474.88
  5. Step 5: Solve for x
    x = 575,204,474.88/30,901.76
  6. Step 6: Final answer
    x = 18,613.97

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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.