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Finding the Fourth Proportional to 29,291.70, 43,941.82 and 9,294.50

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Solution

The fourth proportional to 29,291.70, 43,941.82 and 9,294.50 is: 13,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291.70 : 43,941.82 = 9,294.50 : x
  2. Step 2: Convert to fraction form
    29,291.70/43,941.82 = 9,294.50/x
  3. Step 3: Cross multiply
    29,291.70x = 43,941.82 × 9,294.50
  4. Step 4: Simplify right side
    29,291.70x = 408,417,245.99
  5. Step 5: Solve for x
    x = 408,417,245.99/29,291.70
  6. Step 6: Final answer
    x = 13,943.10

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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.