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Finding the Fourth Proportional to 30,907.68, 46,356.62 and 9,844.98

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Solution

The fourth proportional to 30,907.68, 46,356.62 and 9,844.98 is: 14,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.68 : 46,356.62 = 9,844.98 : x
  2. Step 2: Convert to fraction form
    30,907.68/46,356.62 = 9,844.98/x
  3. Step 3: Cross multiply
    30,907.68x = 46,356.62 × 9,844.98
  4. Step 4: Simplify right side
    30,907.68x = 456,379,947.54
  5. Step 5: Solve for x
    x = 456,379,947.54/30,907.68
  6. Step 6: Final answer
    x = 14,765.91

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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.