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Finding the Fourth Proportional to 50,358, 69,494.04 and 28,002

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Solution

The fourth proportional to 50,358, 69,494.04 and 28,002 is: 38,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,358 : 69,494.04 = 28,002 : x
  2. Step 2: Convert to fraction form
    50,358/69,494.04 = 28,002/x
  3. Step 3: Cross multiply
    50,358x = 69,494.04 × 28,002
  4. Step 4: Simplify right side
    50,358x = 1,945,972,108.08
  5. Step 5: Solve for x
    x = 1,945,972,108.08/50,358
  6. Step 6: Final answer
    x = 38,642.76

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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.