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Finding the Fourth Proportional to 46,432.30, 69,645.04 and 14,833.87

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Solution

The fourth proportional to 46,432.30, 69,645.04 and 14,833.87 is: 22,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,432.30 : 69,645.04 = 14,833.87 : x
  2. Step 2: Convert to fraction form
    46,432.30/69,645.04 = 14,833.87/x
  3. Step 3: Cross multiply
    46,432.30x = 69,645.04 × 14,833.87
  4. Step 4: Simplify right side
    46,432.30x = 1,033,105,469.50
  5. Step 5: Solve for x
    x = 1,033,105,469.50/46,432.30
  6. Step 6: Final answer
    x = 22,249.72

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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.