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Finding the Fourth Proportional to 49,496.40, 74,098.80 and 46,612.80

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Solution

The fourth proportional to 49,496.40, 74,098.80 and 46,612.80 is: 69,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496.40 : 74,098.80 = 46,612.80 : x
  2. Step 2: Convert to fraction form
    49,496.40/74,098.80 = 46,612.80/x
  3. Step 3: Cross multiply
    49,496.40x = 74,098.80 × 46,612.80
  4. Step 4: Simplify right side
    49,496.40x = 3,453,952,544.64
  5. Step 5: Solve for x
    x = 3,453,952,544.64/49,496.40
  6. Step 6: Final answer
    x = 69,781.89

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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.