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Finding the Fourth Proportional to 46,523.87, 69,813.14 and 16,943.48

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Solution

The fourth proportional to 46,523.87, 69,813.14 and 16,943.48 is: 25,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523.87 : 69,813.14 = 16,943.48 : x
  2. Step 2: Convert to fraction form
    46,523.87/69,813.14 = 16,943.48/x
  3. Step 3: Cross multiply
    46,523.87x = 69,813.14 × 16,943.48
  4. Step 4: Simplify right side
    46,523.87x = 1,182,877,541.33
  5. Step 5: Solve for x
    x = 1,182,877,541.33/46,523.87
  6. Step 6: Final answer
    x = 25,425.18

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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.