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Finding the Fourth Proportional to 29,367.80, 44,047.56 and 9,643.80

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Solution

The fourth proportional to 29,367.80, 44,047.56 and 9,643.80 is: 14,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,367.80 : 44,047.56 = 9,643.80 : x
  2. Step 2: Convert to fraction form
    29,367.80/44,047.56 = 9,643.80/x
  3. Step 3: Cross multiply
    29,367.80x = 44,047.56 × 9,643.80
  4. Step 4: Simplify right side
    29,367.80x = 424,785,859.13
  5. Step 5: Solve for x
    x = 424,785,859.13/29,367.80
  6. Step 6: Final answer
    x = 14,464.34

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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.