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Finding the Fourth Proportional to 30,907.45, 46,364.80 and 9,840.12

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Solution

The fourth proportional to 30,907.45, 46,364.80 and 9,840.12 is: 14,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.45 : 46,364.80 = 9,840.12 : x
  2. Step 2: Convert to fraction form
    30,907.45/46,364.80 = 9,840.12/x
  3. Step 3: Cross multiply
    30,907.45x = 46,364.80 × 9,840.12
  4. Step 4: Simplify right side
    30,907.45x = 456,235,195.78
  5. Step 5: Solve for x
    x = 456,235,195.78/30,907.45
  6. Step 6: Final answer
    x = 14,761.33

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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.