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Finding the Fourth Proportional to 30,725.88, 42,402.56 and 18,789

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Solution

The fourth proportional to 30,725.88, 42,402.56 and 18,789 is: 25,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.88 : 42,402.56 = 18,789 : x
  2. Step 2: Convert to fraction form
    30,725.88/42,402.56 = 18,789/x
  3. Step 3: Cross multiply
    30,725.88x = 42,402.56 × 18,789
  4. Step 4: Simplify right side
    30,725.88x = 796,701,699.84
  5. Step 5: Solve for x
    x = 796,701,699.84/30,725.88
  6. Step 6: Final answer
    x = 25,929.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.