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Finding the Fourth Proportional to 29,117, 43,675.50 and 10,649

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Solution

The fourth proportional to 29,117, 43,675.50 and 10,649 is: 15,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,117 : 43,675.50 = 10,649 : x
  2. Step 2: Convert to fraction form
    29,117/43,675.50 = 10,649/x
  3. Step 3: Cross multiply
    29,117x = 43,675.50 × 10,649
  4. Step 4: Simplify right side
    29,117x = 465,100,399.50
  5. Step 5: Solve for x
    x = 465,100,399.50/29,117
  6. Step 6: Final answer
    x = 15,973.50

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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.