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Finding the Fourth Proportional to 50,512.57, 75,934.92 and 46,858.90

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Solution

The fourth proportional to 50,512.57, 75,934.92 and 46,858.90 is: 70,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.57 : 75,934.92 = 46,858.90 : x
  2. Step 2: Convert to fraction form
    50,512.57/75,934.92 = 46,858.90/x
  3. Step 3: Cross multiply
    50,512.57x = 75,934.92 × 46,858.90
  4. Step 4: Simplify right side
    50,512.57x = 3,558,226,822.79
  5. Step 5: Solve for x
    x = 3,558,226,822.79/50,512.57
  6. Step 6: Final answer
    x = 70,442.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.