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Finding the Fourth Proportional to 34,533.42, 47,661.63 and 21,112.50

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Solution

The fourth proportional to 34,533.42, 47,661.63 and 21,112.50 is: 29,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533.42 : 47,661.63 = 21,112.50 : x
  2. Step 2: Convert to fraction form
    34,533.42/47,661.63 = 21,112.50/x
  3. Step 3: Cross multiply
    34,533.42x = 47,661.63 × 21,112.50
  4. Step 4: Simplify right side
    34,533.42x = 1,006,256,163.38
  5. Step 5: Solve for x
    x = 1,006,256,163.38/34,533.42
  6. Step 6: Final answer
    x = 29,138.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.