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Finding the Fourth Proportional to 47,540.94, 65,492.10 and 39,987.42

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Solution

The fourth proportional to 47,540.94, 65,492.10 and 39,987.42 is: 55,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540.94 : 65,492.10 = 39,987.42 : x
  2. Step 2: Convert to fraction form
    47,540.94/65,492.10 = 39,987.42/x
  3. Step 3: Cross multiply
    47,540.94x = 65,492.10 × 39,987.42
  4. Step 4: Simplify right side
    47,540.94x = 2,618,860,109.38
  5. Step 5: Solve for x
    x = 2,618,860,109.38/47,540.94
  6. Step 6: Final answer
    x = 55,086.42

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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.