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Finding the Fourth Proportional to 30,803.40, 46,205.10 and 12,084.30

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Solution

The fourth proportional to 30,803.40, 46,205.10 and 12,084.30 is: 18,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.40 : 46,205.10 = 12,084.30 : x
  2. Step 2: Convert to fraction form
    30,803.40/46,205.10 = 12,084.30/x
  3. Step 3: Cross multiply
    30,803.40x = 46,205.10 × 12,084.30
  4. Step 4: Simplify right side
    30,803.40x = 558,356,289.93
  5. Step 5: Solve for x
    x = 558,356,289.93/30,803.40
  6. Step 6: Final answer
    x = 18,126.45

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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.