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Finding the Fourth Proportional to 30,799.49, 46,200.54 and 12,077.87

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Solution

The fourth proportional to 30,799.49, 46,200.54 and 12,077.87 is: 18,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,799.49 : 46,200.54 = 12,077.87 : x
  2. Step 2: Convert to fraction form
    30,799.49/46,200.54 = 12,077.87/x
  3. Step 3: Cross multiply
    30,799.49x = 46,200.54 × 12,077.87
  4. Step 4: Simplify right side
    30,799.49x = 558,004,116.05
  5. Step 5: Solve for x
    x = 558,004,116.05/30,799.49
  6. Step 6: Final answer
    x = 18,117.32

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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.