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Finding the Fourth Proportional to 30,865, 42,614.18 and 19,109.48

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Solution

The fourth proportional to 30,865, 42,614.18 and 19,109.48 is: 26,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865 : 42,614.18 = 19,109.48 : x
  2. Step 2: Convert to fraction form
    30,865/42,614.18 = 19,109.48/x
  3. Step 3: Cross multiply
    30,865x = 42,614.18 × 19,109.48
  4. Step 4: Simplify right side
    30,865x = 814,334,820.43
  5. Step 5: Solve for x
    x = 814,334,820.43/30,865
  6. Step 6: Final answer
    x = 26,383.76

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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.