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Finding the Fourth Proportional to 30,834.39, 42,551.42 and 16,687.20

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Solution

The fourth proportional to 30,834.39, 42,551.42 and 16,687.20 is: 23,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.39 : 42,551.42 = 16,687.20 : x
  2. Step 2: Convert to fraction form
    30,834.39/42,551.42 = 16,687.20/x
  3. Step 3: Cross multiply
    30,834.39x = 42,551.42 × 16,687.20
  4. Step 4: Simplify right side
    30,834.39x = 710,064,055.82
  5. Step 5: Solve for x
    x = 710,064,055.82/30,834.39
  6. Step 6: Final answer
    x = 23,028.32

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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.