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Finding the Fourth Proportional to 29,959.40, 41,343.72 and 16,530.78

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Solution

The fourth proportional to 29,959.40, 41,343.72 and 16,530.78 is: 22,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.40 : 41,343.72 = 16,530.78 : x
  2. Step 2: Convert to fraction form
    29,959.40/41,343.72 = 16,530.78/x
  3. Step 3: Cross multiply
    29,959.40x = 41,343.72 × 16,530.78
  4. Step 4: Simplify right side
    29,959.40x = 683,444,032.75
  5. Step 5: Solve for x
    x = 683,444,032.75/29,959.40
  6. Step 6: Final answer
    x = 22,812.34

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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.