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Finding the Fourth Proportional to 27,851.88, 38,415.60 and 19,241.40

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Solution

The fourth proportional to 27,851.88, 38,415.60 and 19,241.40 is: 26,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.88 : 38,415.60 = 19,241.40 : x
  2. Step 2: Convert to fraction form
    27,851.88/38,415.60 = 19,241.40/x
  3. Step 3: Cross multiply
    27,851.88x = 38,415.60 × 19,241.40
  4. Step 4: Simplify right side
    27,851.88x = 739,169,925.84
  5. Step 5: Solve for x
    x = 739,169,925.84/27,851.88
  6. Step 6: Final answer
    x = 26,539.32

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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.