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Finding the Fourth Proportional to 51,241.70, 70,746.44 and 32,147.64

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Solution

The fourth proportional to 51,241.70, 70,746.44 and 32,147.64 is: 44,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,241.70 : 70,746.44 = 32,147.64 : x
  2. Step 2: Convert to fraction form
    51,241.70/70,746.44 = 32,147.64/x
  3. Step 3: Cross multiply
    51,241.70x = 70,746.44 × 32,147.64
  4. Step 4: Simplify right side
    51,241.70x = 2,274,331,084.40
  5. Step 5: Solve for x
    x = 2,274,331,084.40/51,241.70
  6. Step 6: Final answer
    x = 44,384.38

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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.