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Finding the Fourth Proportional to 38,677.49, 53,374.50 and 21,684.50

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Solution

The fourth proportional to 38,677.49, 53,374.50 and 21,684.50 is: 29,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677.49 : 53,374.50 = 21,684.50 : x
  2. Step 2: Convert to fraction form
    38,677.49/53,374.50 = 21,684.50/x
  3. Step 3: Cross multiply
    38,677.49x = 53,374.50 × 21,684.50
  4. Step 4: Simplify right side
    38,677.49x = 1,157,399,078.38
  5. Step 5: Solve for x
    x = 1,157,399,078.38/38,677.49
  6. Step 6: Final answer
    x = 29,924.36

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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.