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Finding the Fourth Proportional to 50,825.40, 70,137 and 28,164.72

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Solution

The fourth proportional to 50,825.40, 70,137 and 28,164.72 is: 38,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,825.40 : 70,137 = 28,164.72 : x
  2. Step 2: Convert to fraction form
    50,825.40/70,137 = 28,164.72/x
  3. Step 3: Cross multiply
    50,825.40x = 70,137 × 28,164.72
  4. Step 4: Simplify right side
    50,825.40x = 1,975,388,966.64
  5. Step 5: Solve for x
    x = 1,975,388,966.64/50,825.40
  6. Step 6: Final answer
    x = 38,866.18

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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.