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Finding the Fourth Proportional to 30,751.88, 42,437.76 and 17,323.40

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Solution

The fourth proportional to 30,751.88, 42,437.76 and 17,323.40 is: 23,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.88 : 42,437.76 = 17,323.40 : x
  2. Step 2: Convert to fraction form
    30,751.88/42,437.76 = 17,323.40/x
  3. Step 3: Cross multiply
    30,751.88x = 42,437.76 × 17,323.40
  4. Step 4: Simplify right side
    30,751.88x = 735,166,291.58
  5. Step 5: Solve for x
    x = 735,166,291.58/30,751.88
  6. Step 6: Final answer
    x = 23,906.39

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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.