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Finding the Fourth Proportional to 30,756.48, 46,152 and 12,289.92

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Solution

The fourth proportional to 30,756.48, 46,152 and 12,289.92 is: 18,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.48 : 46,152 = 12,289.92 : x
  2. Step 2: Convert to fraction form
    30,756.48/46,152 = 12,289.92/x
  3. Step 3: Cross multiply
    30,756.48x = 46,152 × 12,289.92
  4. Step 4: Simplify right side
    30,756.48x = 567,204,387.84
  5. Step 5: Solve for x
    x = 567,204,387.84/30,756.48
  6. Step 6: Final answer
    x = 18,441.78

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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.