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Finding the Fourth Proportional to 51,035, 70,435.86 and 29,825.96

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Solution

The fourth proportional to 51,035, 70,435.86 and 29,825.96 is: 41,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,035 : 70,435.86 = 29,825.96 : x
  2. Step 2: Convert to fraction form
    51,035/70,435.86 = 29,825.96/x
  3. Step 3: Cross multiply
    51,035x = 70,435.86 × 29,825.96
  4. Step 4: Simplify right side
    51,035x = 2,100,817,142.93
  5. Step 5: Solve for x
    x = 2,100,817,142.93/51,035
  6. Step 6: Final answer
    x = 41,164.24

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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.