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Finding the Fourth Proportional to 30,768.08, 46,158.30 and 11,048.18

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Solution

The fourth proportional to 30,768.08, 46,158.30 and 11,048.18 is: 16,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.08 : 46,158.30 = 11,048.18 : x
  2. Step 2: Convert to fraction form
    30,768.08/46,158.30 = 11,048.18/x
  3. Step 3: Cross multiply
    30,768.08x = 46,158.30 × 11,048.18
  4. Step 4: Simplify right side
    30,768.08x = 509,965,206.89
  5. Step 5: Solve for x
    x = 509,965,206.89/30,768.08
  6. Step 6: Final answer
    x = 16,574.49

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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.