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Finding the Fourth Proportional to 30,316.90, 41,840.40 and 16,890.34

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Solution

The fourth proportional to 30,316.90, 41,840.40 and 16,890.34 is: 23,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316.90 : 41,840.40 = 16,890.34 : x
  2. Step 2: Convert to fraction form
    30,316.90/41,840.40 = 16,890.34/x
  3. Step 3: Cross multiply
    30,316.90x = 41,840.40 × 16,890.34
  4. Step 4: Simplify right side
    30,316.90x = 706,698,581.74
  5. Step 5: Solve for x
    x = 706,698,581.74/30,316.90
  6. Step 6: Final answer
    x = 23,310.38

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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.