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Finding the Fourth Proportional to 30,697, 42,362.34 and 19,534.12

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Solution

The fourth proportional to 30,697, 42,362.34 and 19,534.12 is: 26,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697 : 42,362.34 = 19,534.12 : x
  2. Step 2: Convert to fraction form
    30,697/42,362.34 = 19,534.12/x
  3. Step 3: Cross multiply
    30,697x = 42,362.34 × 19,534.12
  4. Step 4: Simplify right side
    30,697x = 827,511,033.04
  5. Step 5: Solve for x
    x = 827,511,033.04/30,697
  6. Step 6: Final answer
    x = 26,957.39

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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.