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Finding the Fourth Proportional to 30,907.68, 46,352.16 and 10,126.32

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Solution

The fourth proportional to 30,907.68, 46,352.16 and 10,126.32 is: 15,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.68 : 46,352.16 = 10,126.32 : x
  2. Step 2: Convert to fraction form
    30,907.68/46,352.16 = 10,126.32/x
  3. Step 3: Cross multiply
    30,907.68x = 46,352.16 × 10,126.32
  4. Step 4: Simplify right side
    30,907.68x = 469,376,804.85
  5. Step 5: Solve for x
    x = 469,376,804.85/30,907.68
  6. Step 6: Final answer
    x = 15,186.41

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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.