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Finding the Fourth Proportional to 30,765, 46,151.37 and 12,042.63

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Solution

The fourth proportional to 30,765, 46,151.37 and 12,042.63 is: 18,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 46,151.37 = 12,042.63 : x
  2. Step 2: Convert to fraction form
    30,765/46,151.37 = 12,042.63/x
  3. Step 3: Cross multiply
    30,765x = 46,151.37 × 12,042.63
  4. Step 4: Simplify right side
    30,765x = 555,783,872.90
  5. Step 5: Solve for x
    x = 555,783,872.90/30,765
  6. Step 6: Final answer
    x = 18,065.46

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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.