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Finding the Fourth Proportional to 29,833.12, 44,744.56 and 7,940

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Solution

The fourth proportional to 29,833.12, 44,744.56 and 7,940 is: 11,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.12 : 44,744.56 = 7,940 : x
  2. Step 2: Convert to fraction form
    29,833.12/44,744.56 = 7,940/x
  3. Step 3: Cross multiply
    29,833.12x = 44,744.56 × 7,940
  4. Step 4: Simplify right side
    29,833.12x = 355,271,806.40
  5. Step 5: Solve for x
    x = 355,271,806.40/29,833.12
  6. Step 6: Final answer
    x = 11,908.64

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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.