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Finding the Fourth Proportional to 28,959, 43,438.50 and 7,071

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Solution

The fourth proportional to 28,959, 43,438.50 and 7,071 is: 10,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,959 : 43,438.50 = 7,071 : x
  2. Step 2: Convert to fraction form
    28,959/43,438.50 = 7,071/x
  3. Step 3: Cross multiply
    28,959x = 43,438.50 × 7,071
  4. Step 4: Simplify right side
    28,959x = 307,153,633.50
  5. Step 5: Solve for x
    x = 307,153,633.50/28,959
  6. Step 6: Final answer
    x = 10,606.50

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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.