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Finding the Fourth Proportional to 70,827.40, 106,241.10 and 20,908.18

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Solution

The fourth proportional to 70,827.40, 106,241.10 and 20,908.18 is: 31,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827.40 : 106,241.10 = 20,908.18 : x
  2. Step 2: Convert to fraction form
    70,827.40/106,241.10 = 20,908.18/x
  3. Step 3: Cross multiply
    70,827.40x = 106,241.10 × 20,908.18
  4. Step 4: Simplify right side
    70,827.40x = 2,221,308,042.20
  5. Step 5: Solve for x
    x = 2,221,308,042.20/70,827.40
  6. Step 6: Final answer
    x = 31,362.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.