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Finding the Fourth Proportional to 30,035, 41,448.32 and 16,787

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Solution

The fourth proportional to 30,035, 41,448.32 and 16,787 is: 23,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035 : 41,448.32 = 16,787 : x
  2. Step 2: Convert to fraction form
    30,035/41,448.32 = 16,787/x
  3. Step 3: Cross multiply
    30,035x = 41,448.32 × 16,787
  4. Step 4: Simplify right side
    30,035x = 695,792,947.84
  5. Step 5: Solve for x
    x = 695,792,947.84/30,035
  6. Step 6: Final answer
    x = 23,166.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.