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Finding the Fourth Proportional to 50,789.40, 70,083.14 and 28,125.20

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Solution

The fourth proportional to 50,789.40, 70,083.14 and 28,125.20 is: 38,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,789.40 : 70,083.14 = 28,125.20 : x
  2. Step 2: Convert to fraction form
    50,789.40/70,083.14 = 28,125.20/x
  3. Step 3: Cross multiply
    50,789.40x = 70,083.14 × 28,125.20
  4. Step 4: Simplify right side
    50,789.40x = 1,971,101,838.09
  5. Step 5: Solve for x
    x = 1,971,101,838.09/50,789.40
  6. Step 6: Final answer
    x = 38,809.32

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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.