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Finding the Fourth Proportional to 63,059.30, 87,022.43 and 34,766

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Solution

The fourth proportional to 63,059.30, 87,022.43 and 34,766 is: 47,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,059.30 : 87,022.43 = 34,766 : x
  2. Step 2: Convert to fraction form
    63,059.30/87,022.43 = 34,766/x
  3. Step 3: Cross multiply
    63,059.30x = 87,022.43 × 34,766
  4. Step 4: Simplify right side
    63,059.30x = 3,025,421,801.38
  5. Step 5: Solve for x
    x = 3,025,421,801.38/63,059.30
  6. Step 6: Final answer
    x = 47,977.41

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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.