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Finding the Fourth Proportional to 30,787.97, 46,220.22 and 30,645.81

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Solution

The fourth proportional to 30,787.97, 46,220.22 and 30,645.81 is: 46,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.97 : 46,220.22 = 30,645.81 : x
  2. Step 2: Convert to fraction form
    30,787.97/46,220.22 = 30,645.81/x
  3. Step 3: Cross multiply
    30,787.97x = 46,220.22 × 30,645.81
  4. Step 4: Simplify right side
    30,787.97x = 1,416,456,080.28
  5. Step 5: Solve for x
    x = 1,416,456,080.28/30,787.97
  6. Step 6: Final answer
    x = 46,006.81

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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.