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Finding the Fourth Proportional to 30,892.90, 42,634.89 and 25,848.22

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Solution

The fourth proportional to 30,892.90, 42,634.89 and 25,848.22 is: 35,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.90 : 42,634.89 = 25,848.22 : x
  2. Step 2: Convert to fraction form
    30,892.90/42,634.89 = 25,848.22/x
  3. Step 3: Cross multiply
    30,892.90x = 42,634.89 × 25,848.22
  4. Step 4: Simplify right side
    30,892.90x = 1,102,036,016.40
  5. Step 5: Solve for x
    x = 1,102,036,016.40/30,892.90
  6. Step 6: Final answer
    x = 35,672.79

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1.5x scale

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.