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Finding the Fourth Proportional to 46,804.98, 70,118.64 and 27,789.48

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Solution

The fourth proportional to 46,804.98, 70,118.64 and 27,789.48 is: 41,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,804.98 : 70,118.64 = 27,789.48 : x
  2. Step 2: Convert to fraction form
    46,804.98/70,118.64 = 27,789.48/x
  3. Step 3: Cross multiply
    46,804.98x = 70,118.64 × 27,789.48
  4. Step 4: Simplify right side
    46,804.98x = 1,948,560,543.91
  5. Step 5: Solve for x
    x = 1,948,560,543.91/46,804.98
  6. Step 6: Final answer
    x = 41,631.48

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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.