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Finding the Fourth Proportional to 85,894.64, 118,541.40 and 47,657.96

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Solution

The fourth proportional to 85,894.64, 118,541.40 and 47,657.96 is: 65,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894.64 : 118,541.40 = 47,657.96 : x
  2. Step 2: Convert to fraction form
    85,894.64/118,541.40 = 47,657.96/x
  3. Step 3: Cross multiply
    85,894.64x = 118,541.40 × 47,657.96
  4. Step 4: Simplify right side
    85,894.64x = 5,649,441,299.54
  5. Step 5: Solve for x
    x = 5,649,441,299.54/85,894.64
  6. Step 6: Final answer
    x = 65,771.76

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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.