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Finding the Fourth Proportional to 38,114.25, 52,597.67 and 21,347.25

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Solution

The fourth proportional to 38,114.25, 52,597.67 and 21,347.25 is: 29,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.25 : 52,597.67 = 21,347.25 : x
  2. Step 2: Convert to fraction form
    38,114.25/52,597.67 = 21,347.25/x
  3. Step 3: Cross multiply
    38,114.25x = 52,597.67 × 21,347.25
  4. Step 4: Simplify right side
    38,114.25x = 1,122,815,504.17
  5. Step 5: Solve for x
    x = 1,122,815,504.17/38,114.25
  6. Step 6: Final answer
    x = 29,459.21

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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.