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Finding the Fourth Proportional to 29,797.19, 44,684.74 and 8,731.83

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Solution

The fourth proportional to 29,797.19, 44,684.74 and 8,731.83 is: 13,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.19 : 44,684.74 = 8,731.83 : x
  2. Step 2: Convert to fraction form
    29,797.19/44,684.74 = 8,731.83/x
  3. Step 3: Cross multiply
    29,797.19x = 44,684.74 × 8,731.83
  4. Step 4: Simplify right side
    29,797.19x = 390,179,330.17
  5. Step 5: Solve for x
    x = 390,179,330.17/29,797.19
  6. Step 6: Final answer
    x = 13,094.50

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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.