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Finding the Fourth Proportional to 50,530.40, 69,735.02 and 27,869.30

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Solution

The fourth proportional to 50,530.40, 69,735.02 and 27,869.30 is: 38,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.40 : 69,735.02 = 27,869.30 : x
  2. Step 2: Convert to fraction form
    50,530.40/69,735.02 = 27,869.30/x
  3. Step 3: Cross multiply
    50,530.40x = 69,735.02 × 27,869.30
  4. Step 4: Simplify right side
    50,530.40x = 1,943,465,704.86
  5. Step 5: Solve for x
    x = 1,943,465,704.86/50,530.40
  6. Step 6: Final answer
    x = 38,461.32

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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.