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Finding the Fourth Proportional to 38,732.63, 53,451.02 and 21,965.63

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Solution

The fourth proportional to 38,732.63, 53,451.02 and 21,965.63 is: 30,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732.63 : 53,451.02 = 21,965.63 : x
  2. Step 2: Convert to fraction form
    38,732.63/53,451.02 = 21,965.63/x
  3. Step 3: Cross multiply
    38,732.63x = 53,451.02 × 21,965.63
  4. Step 4: Simplify right side
    38,732.63x = 1,174,085,116.10
  5. Step 5: Solve for x
    x = 1,174,085,116.10/38,732.63
  6. Step 6: Final answer
    x = 30,312.56

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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.