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Finding the Fourth Proportional to 46,353.65, 69,530.43 and 16,764.58

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Solution

The fourth proportional to 46,353.65, 69,530.43 and 16,764.58 is: 25,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,353.65 : 69,530.43 = 16,764.58 : x
  2. Step 2: Convert to fraction form
    46,353.65/69,530.43 = 16,764.58/x
  3. Step 3: Cross multiply
    46,353.65x = 69,530.43 × 16,764.58
  4. Step 4: Simplify right side
    46,353.65x = 1,165,648,605.95
  5. Step 5: Solve for x
    x = 1,165,648,605.95/46,353.65
  6. Step 6: Final answer
    x = 25,146.86

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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.