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Finding the Fourth Proportional to 29,392.24, 44,088 and 7,205.68

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Solution

The fourth proportional to 29,392.24, 44,088 and 7,205.68 is: 10,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,392.24 : 44,088 = 7,205.68 : x
  2. Step 2: Convert to fraction form
    29,392.24/44,088 = 7,205.68/x
  3. Step 3: Cross multiply
    29,392.24x = 44,088 × 7,205.68
  4. Step 4: Simplify right side
    29,392.24x = 317,684,019.84
  5. Step 5: Solve for x
    x = 317,684,019.84/29,392.24
  6. Step 6: Final answer
    x = 10,808.43

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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.