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Finding the Fourth Proportional to 50,798.24, 70,101.49 and 28,137.22

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Solution

The fourth proportional to 50,798.24, 70,101.49 and 28,137.22 is: 38,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,798.24 : 70,101.49 = 28,137.22 : x
  2. Step 2: Convert to fraction form
    50,798.24/70,101.49 = 28,137.22/x
  3. Step 3: Cross multiply
    50,798.24x = 70,101.49 × 28,137.22
  4. Step 4: Simplify right side
    50,798.24x = 1,972,461,046.46
  5. Step 5: Solve for x
    x = 1,972,461,046.46/50,798.24
  6. Step 6: Final answer
    x = 38,829.32

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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.