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Finding the Fourth Proportional to 30,645.98, 42,296.38 and 28,644.88

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Solution

The fourth proportional to 30,645.98, 42,296.38 and 28,644.88 is: 39,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.98 : 42,296.38 = 28,644.88 : x
  2. Step 2: Convert to fraction form
    30,645.98/42,296.38 = 28,644.88/x
  3. Step 3: Cross multiply
    30,645.98x = 42,296.38 × 28,644.88
  4. Step 4: Simplify right side
    30,645.98x = 1,211,574,729.53
  5. Step 5: Solve for x
    x = 1,211,574,729.53/30,645.98
  6. Step 6: Final answer
    x = 39,534.54

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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.