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Finding the Fourth Proportional to 49,640.50, 74,103.35 and 42,544

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Solution

The fourth proportional to 49,640.50, 74,103.35 and 42,544 is: 63,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640.50 : 74,103.35 = 42,544 : x
  2. Step 2: Convert to fraction form
    49,640.50/74,103.35 = 42,544/x
  3. Step 3: Cross multiply
    49,640.50x = 74,103.35 × 42,544
  4. Step 4: Simplify right side
    49,640.50x = 3,152,652,922.40
  5. Step 5: Solve for x
    x = 3,152,652,922.40/49,640.50
  6. Step 6: Final answer
    x = 63,509.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.