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Finding the Fourth Proportional to 29,149, 40,225.62 and 15,901

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Solution

The fourth proportional to 29,149, 40,225.62 and 15,901 is: 21,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,149 : 40,225.62 = 15,901 : x
  2. Step 2: Convert to fraction form
    29,149/40,225.62 = 15,901/x
  3. Step 3: Cross multiply
    29,149x = 40,225.62 × 15,901
  4. Step 4: Simplify right side
    29,149x = 639,627,583.62
  5. Step 5: Solve for x
    x = 639,627,583.62/29,149
  6. Step 6: Final answer
    x = 21,943.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.