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Finding the Fourth Proportional to 50,830.92, 70,147.06 and 28,170.28

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Solution

The fourth proportional to 50,830.92, 70,147.06 and 28,170.28 is: 38,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830.92 : 70,147.06 = 28,170.28 : x
  2. Step 2: Convert to fraction form
    50,830.92/70,147.06 = 28,170.28/x
  3. Step 3: Cross multiply
    50,830.92x = 70,147.06 × 28,170.28
  4. Step 4: Simplify right side
    50,830.92x = 1,976,062,497.09
  5. Step 5: Solve for x
    x = 1,976,062,497.09/50,830.92
  6. Step 6: Final answer
    x = 38,875.21

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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.