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Finding the Fourth Proportional to 30,149, 41,605.62 and 16,722.31

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Solution

The fourth proportional to 30,149, 41,605.62 and 16,722.31 is: 23,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149 : 41,605.62 = 16,722.31 : x
  2. Step 2: Convert to fraction form
    30,149/41,605.62 = 16,722.31/x
  3. Step 3: Cross multiply
    30,149x = 41,605.62 × 16,722.31
  4. Step 4: Simplify right side
    30,149x = 695,742,075.38
  5. Step 5: Solve for x
    x = 695,742,075.38/30,149
  6. Step 6: Final answer
    x = 23,076.79

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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.