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Finding the Fourth Proportional to 30,901.06, 46,349.43 and 8,713.54

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Solution

The fourth proportional to 30,901.06, 46,349.43 and 8,713.54 is: 13,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.06 : 46,349.43 = 8,713.54 : x
  2. Step 2: Convert to fraction form
    30,901.06/46,349.43 = 8,713.54/x
  3. Step 3: Cross multiply
    30,901.06x = 46,349.43 × 8,713.54
  4. Step 4: Simplify right side
    30,901.06x = 403,867,612.28
  5. Step 5: Solve for x
    x = 403,867,612.28/30,901.06
  6. Step 6: Final answer
    x = 13,069.70

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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.