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Finding the Fourth Proportional to 46,126.31, 69,189.53 and 12,846.47

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Solution

The fourth proportional to 46,126.31, 69,189.53 and 12,846.47 is: 19,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,126.31 : 69,189.53 = 12,846.47 : x
  2. Step 2: Convert to fraction form
    46,126.31/69,189.53 = 12,846.47/x
  3. Step 3: Cross multiply
    46,126.31x = 69,189.53 × 12,846.47
  4. Step 4: Simplify right side
    46,126.31x = 888,840,811.28
  5. Step 5: Solve for x
    x = 888,840,811.28/46,126.31
  6. Step 6: Final answer
    x = 19,269.72

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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.