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Finding the Fourth Proportional to 38,343.36, 52,915.68 and 21,576

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Solution

The fourth proportional to 38,343.36, 52,915.68 and 21,576 is: 29,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,343.36 : 52,915.68 = 21,576 : x
  2. Step 2: Convert to fraction form
    38,343.36/52,915.68 = 21,576/x
  3. Step 3: Cross multiply
    38,343.36x = 52,915.68 × 21,576
  4. Step 4: Simplify right side
    38,343.36x = 1,141,708,711.68
  5. Step 5: Solve for x
    x = 1,141,708,711.68/38,343.36
  6. Step 6: Final answer
    x = 29,775.92

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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.