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Finding the Fourth Proportional to 50,712.30, 69,977.59 and 28,047.69

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Solution

The fourth proportional to 50,712.30, 69,977.59 and 28,047.69 is: 38,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,712.30 : 69,977.59 = 28,047.69 : x
  2. Step 2: Convert to fraction form
    50,712.30/69,977.59 = 28,047.69/x
  3. Step 3: Cross multiply
    50,712.30x = 69,977.59 × 28,047.69
  4. Step 4: Simplify right side
    50,712.30x = 1,962,709,873.80
  5. Step 5: Solve for x
    x = 1,962,709,873.80/50,712.30
  6. Step 6: Final answer
    x = 38,702.84

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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.