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Finding the Fourth Proportional to 46,573.84, 69,889.38 and 18,488.98

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Solution

The fourth proportional to 46,573.84, 69,889.38 and 18,488.98 is: 27,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573.84 : 69,889.38 = 18,488.98 : x
  2. Step 2: Convert to fraction form
    46,573.84/69,889.38 = 18,488.98/x
  3. Step 3: Cross multiply
    46,573.84x = 69,889.38 × 18,488.98
  4. Step 4: Simplify right side
    46,573.84x = 1,292,183,349.03
  5. Step 5: Solve for x
    x = 1,292,183,349.03/46,573.84
  6. Step 6: Final answer
    x = 27,744.83

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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.