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Finding the Fourth Proportional to 50,859.22, 70,189.86 and 28,200.46

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Solution

The fourth proportional to 50,859.22, 70,189.86 and 28,200.46 is: 38,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,859.22 : 70,189.86 = 28,200.46 : x
  2. Step 2: Convert to fraction form
    50,859.22/70,189.86 = 28,200.46/x
  3. Step 3: Cross multiply
    50,859.22x = 70,189.86 × 28,200.46
  4. Step 4: Simplify right side
    50,859.22x = 1,979,386,339.34
  5. Step 5: Solve for x
    x = 1,979,386,339.34/50,859.22
  6. Step 6: Final answer
    x = 38,918.93

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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.