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Finding the Fourth Proportional to 51,465.50, 71,022.39 and 27,913.50

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Solution

The fourth proportional to 51,465.50, 71,022.39 and 27,913.50 is: 38,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,465.50 : 71,022.39 = 27,913.50 : x
  2. Step 2: Convert to fraction form
    51,465.50/71,022.39 = 27,913.50/x
  3. Step 3: Cross multiply
    51,465.50x = 71,022.39 × 27,913.50
  4. Step 4: Simplify right side
    51,465.50x = 1,982,483,483.27
  5. Step 5: Solve for x
    x = 1,982,483,483.27/51,465.50
  6. Step 6: Final answer
    x = 38,520.63

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1.5x scale

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.