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Finding the Fourth Proportional to 38,761.20, 53,492.82 and 21,771

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Solution

The fourth proportional to 38,761.20, 53,492.82 and 21,771 is: 30,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,761.20 : 53,492.82 = 21,771 : x
  2. Step 2: Convert to fraction form
    38,761.20/53,492.82 = 21,771/x
  3. Step 3: Cross multiply
    38,761.20x = 53,492.82 × 21,771
  4. Step 4: Simplify right side
    38,761.20x = 1,164,592,184.22
  5. Step 5: Solve for x
    x = 1,164,592,184.22/38,761.20
  6. Step 6: Final answer
    x = 30,045.31

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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.