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Finding the Fourth Proportional to 30,853.80, 46,280.70 and 11,135.40

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Solution

The fourth proportional to 30,853.80, 46,280.70 and 11,135.40 is: 16,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.80 : 46,280.70 = 11,135.40 : x
  2. Step 2: Convert to fraction form
    30,853.80/46,280.70 = 11,135.40/x
  3. Step 3: Cross multiply
    30,853.80x = 46,280.70 × 11,135.40
  4. Step 4: Simplify right side
    30,853.80x = 515,354,106.78
  5. Step 5: Solve for x
    x = 515,354,106.78/30,853.80
  6. Step 6: Final answer
    x = 16,703.10

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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.