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Finding the Fourth Proportional to 30,976.17, 46,464.49 and 7,602.61

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Solution

The fourth proportional to 30,976.17, 46,464.49 and 7,602.61 is: 11,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.17 : 46,464.49 = 7,602.61 : x
  2. Step 2: Convert to fraction form
    30,976.17/46,464.49 = 7,602.61/x
  3. Step 3: Cross multiply
    30,976.17x = 46,464.49 × 7,602.61
  4. Step 4: Simplify right side
    30,976.17x = 353,251,334.02
  5. Step 5: Solve for x
    x = 353,251,334.02/30,976.17
  6. Step 6: Final answer
    x = 11,403.97

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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.