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Finding the Fourth Proportional to 30,661.35, 42,295.32 and 19,311.32

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Solution

The fourth proportional to 30,661.35, 42,295.32 and 19,311.32 is: 26,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.35 : 42,295.32 = 19,311.32 : x
  2. Step 2: Convert to fraction form
    30,661.35/42,295.32 = 19,311.32/x
  3. Step 3: Cross multiply
    30,661.35x = 42,295.32 × 19,311.32
  4. Step 4: Simplify right side
    30,661.35x = 816,778,247.55
  5. Step 5: Solve for x
    x = 816,778,247.55/30,661.35
  6. Step 6: Final answer
    x = 26,638.69

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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.