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Finding the Fourth Proportional to 46,361.97, 69,543.00 and 16,772.87

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Solution

The fourth proportional to 46,361.97, 69,543.00 and 16,772.87 is: 25,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,361.97 : 69,543.00 = 16,772.87 : x
  2. Step 2: Convert to fraction form
    46,361.97/69,543.00 = 16,772.87/x
  3. Step 3: Cross multiply
    46,361.97x = 69,543.00 × 16,772.87
  4. Step 4: Simplify right side
    46,361.97x = 1,166,435,266.83
  5. Step 5: Solve for x
    x = 1,166,435,266.83/46,361.97
  6. Step 6: Final answer
    x = 25,159.31

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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.