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Finding the Fourth Proportional to 29,241.40, 40,353.09 and 15,812.62

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Solution

The fourth proportional to 29,241.40, 40,353.09 and 15,812.62 is: 21,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241.40 : 40,353.09 = 15,812.62 : x
  2. Step 2: Convert to fraction form
    29,241.40/40,353.09 = 15,812.62/x
  3. Step 3: Cross multiply
    29,241.40x = 40,353.09 × 15,812.62
  4. Step 4: Simplify right side
    29,241.40x = 638,087,977.11
  5. Step 5: Solve for x
    x = 638,087,977.11/29,241.40
  6. Step 6: Final answer
    x = 21,821.39

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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.