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Finding the Fourth Proportional to 46,907.49, 70,379.27 and 28,200.44

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Solution

The fourth proportional to 46,907.49, 70,379.27 and 28,200.44 is: 42,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,907.49 : 70,379.27 = 28,200.44 : x
  2. Step 2: Convert to fraction form
    46,907.49/70,379.27 = 28,200.44/x
  3. Step 3: Cross multiply
    46,907.49x = 70,379.27 × 28,200.44
  4. Step 4: Simplify right side
    46,907.49x = 1,984,726,086.04
  5. Step 5: Solve for x
    x = 1,984,726,086.04/46,907.49
  6. Step 6: Final answer
    x = 42,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.