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Finding the Fourth Proportional to 38,137.64, 52,632 and 21,141.50

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Solution

The fourth proportional to 38,137.64, 52,632 and 21,141.50 is: 29,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,137.64 : 52,632 = 21,141.50 : x
  2. Step 2: Convert to fraction form
    38,137.64/52,632 = 21,141.50/x
  3. Step 3: Cross multiply
    38,137.64x = 52,632 × 21,141.50
  4. Step 4: Simplify right side
    38,137.64x = 1,112,719,428
  5. Step 5: Solve for x
    x = 1,112,719,428/38,137.64
  6. Step 6: Final answer
    x = 29,176.41

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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.