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Finding the Fourth Proportional to 29,651.63, 44,503.75 and 13,865.25

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Solution

The fourth proportional to 29,651.63, 44,503.75 and 13,865.25 is: 20,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,651.63 : 44,503.75 = 13,865.25 : x
  2. Step 2: Convert to fraction form
    29,651.63/44,503.75 = 13,865.25/x
  3. Step 3: Cross multiply
    29,651.63x = 44,503.75 × 13,865.25
  4. Step 4: Simplify right side
    29,651.63x = 617,055,717.74
  5. Step 5: Solve for x
    x = 617,055,717.74/29,651.63
  6. Step 6: Final answer
    x = 20,810.18

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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.