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Finding the Fourth Proportional to 34,162.56, 47,122.80 and 23,533.92

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Solution

The fourth proportional to 34,162.56, 47,122.80 and 23,533.92 is: 32,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.56 : 47,122.80 = 23,533.92 : x
  2. Step 2: Convert to fraction form
    34,162.56/47,122.80 = 23,533.92/x
  3. Step 3: Cross multiply
    34,162.56x = 47,122.80 × 23,533.92
  4. Step 4: Simplify right side
    34,162.56x = 1,108,984,205.38
  5. Step 5: Solve for x
    x = 1,108,984,205.38/34,162.56
  6. Step 6: Final answer
    x = 32,461.98

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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.