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Finding the Fourth Proportional to 29,959, 44,938.50 and 8,071

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Solution

The fourth proportional to 29,959, 44,938.50 and 8,071 is: 12,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959 : 44,938.50 = 8,071 : x
  2. Step 2: Convert to fraction form
    29,959/44,938.50 = 8,071/x
  3. Step 3: Cross multiply
    29,959x = 44,938.50 × 8,071
  4. Step 4: Simplify right side
    29,959x = 362,698,633.50
  5. Step 5: Solve for x
    x = 362,698,633.50/29,959
  6. Step 6: Final answer
    x = 12,106.50

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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.