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Finding the Fourth Proportional to 30,899.52, 46,363.10 and 14,250.65

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Solution

The fourth proportional to 30,899.52, 46,363.10 and 14,250.65 is: 21,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.52 : 46,363.10 = 14,250.65 : x
  2. Step 2: Convert to fraction form
    30,899.52/46,363.10 = 14,250.65/x
  3. Step 3: Cross multiply
    30,899.52x = 46,363.10 × 14,250.65
  4. Step 4: Simplify right side
    30,899.52x = 660,704,007.95
  5. Step 5: Solve for x
    x = 660,704,007.95/30,899.52
  6. Step 6: Final answer
    x = 21,382.34

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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.