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Finding the Fourth Proportional to 50,902, 70,244.76 and 28,546

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Solution

The fourth proportional to 50,902, 70,244.76 and 28,546 is: 39,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902 : 70,244.76 = 28,546 : x
  2. Step 2: Convert to fraction form
    50,902/70,244.76 = 28,546/x
  3. Step 3: Cross multiply
    50,902x = 70,244.76 × 28,546
  4. Step 4: Simplify right side
    50,902x = 2,005,206,918.96
  5. Step 5: Solve for x
    x = 2,005,206,918.96/50,902
  6. Step 6: Final answer
    x = 39,393.48

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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.