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Finding the Fourth Proportional to 85,832.76, 118,447.98 and 47,592.38

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Solution

The fourth proportional to 85,832.76, 118,447.98 and 47,592.38 is: 65,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,832.76 : 118,447.98 = 47,592.38 : x
  2. Step 2: Convert to fraction form
    85,832.76/118,447.98 = 47,592.38/x
  3. Step 3: Cross multiply
    85,832.76x = 118,447.98 × 47,592.38
  4. Step 4: Simplify right side
    85,832.76x = 5,637,221,274.39
  5. Step 5: Solve for x
    x = 5,637,221,274.39/85,832.76
  6. Step 6: Final answer
    x = 65,676.80

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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.