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Finding the Fourth Proportional to 34,656.72, 51,984.63 and 8,361.24

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Solution

The fourth proportional to 34,656.72, 51,984.63 and 8,361.24 is: 12,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.72 : 51,984.63 = 8,361.24 : x
  2. Step 2: Convert to fraction form
    34,656.72/51,984.63 = 8,361.24/x
  3. Step 3: Cross multiply
    34,656.72x = 51,984.63 × 8,361.24
  4. Step 4: Simplify right side
    34,656.72x = 434,655,967.74
  5. Step 5: Solve for x
    x = 434,655,967.74/34,656.72
  6. Step 6: Final answer
    x = 12,541.75

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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.