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Finding the Fourth Proportional to 29,314.36, 43,975.65 and 9,594.48

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Solution

The fourth proportional to 29,314.36, 43,975.65 and 9,594.48 is: 14,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.36 : 43,975.65 = 9,594.48 : x
  2. Step 2: Convert to fraction form
    29,314.36/43,975.65 = 9,594.48/x
  3. Step 3: Cross multiply
    29,314.36x = 43,975.65 × 9,594.48
  4. Step 4: Simplify right side
    29,314.36x = 421,923,494.41
  5. Step 5: Solve for x
    x = 421,923,494.41/29,314.36
  6. Step 6: Final answer
    x = 14,393.07

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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.