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Finding the Fourth Proportional to 33,740.70, 46,561.68 and 18,634

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Solution

The fourth proportional to 33,740.70, 46,561.68 and 18,634 is: 25,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740.70 : 46,561.68 = 18,634 : x
  2. Step 2: Convert to fraction form
    33,740.70/46,561.68 = 18,634/x
  3. Step 3: Cross multiply
    33,740.70x = 46,561.68 × 18,634
  4. Step 4: Simplify right side
    33,740.70x = 867,630,345.12
  5. Step 5: Solve for x
    x = 867,630,345.12/33,740.70
  6. Step 6: Final answer
    x = 25,714.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.