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Finding the Fourth Proportional to 51,680.50, 71,330.19 and 31,533.05

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Solution

The fourth proportional to 51,680.50, 71,330.19 and 31,533.05 is: 43,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,680.50 : 71,330.19 = 31,533.05 : x
  2. Step 2: Convert to fraction form
    51,680.50/71,330.19 = 31,533.05/x
  3. Step 3: Cross multiply
    51,680.50x = 71,330.19 × 31,533.05
  4. Step 4: Simplify right side
    51,680.50x = 2,249,258,447.78
  5. Step 5: Solve for x
    x = 2,249,258,447.78/51,680.50
  6. Step 6: Final answer
    x = 43,522.38

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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.