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Finding the Fourth Proportional to 38,093.90, 52,567.38 and 21,098.07

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Solution

The fourth proportional to 38,093.90, 52,567.38 and 21,098.07 is: 29,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,093.90 : 52,567.38 = 21,098.07 : x
  2. Step 2: Convert to fraction form
    38,093.90/52,567.38 = 21,098.07/x
  3. Step 3: Cross multiply
    38,093.90x = 52,567.38 × 21,098.07
  4. Step 4: Simplify right side
    38,093.90x = 1,109,070,262.96
  5. Step 5: Solve for x
    x = 1,109,070,262.96/38,093.90
  6. Step 6: Final answer
    x = 29,114.12

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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.