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Finding the Fourth Proportional to 85,493.58, 117,977.48 and 47,251.16

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Solution

The fourth proportional to 85,493.58, 117,977.48 and 47,251.16 is: 65,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,493.58 : 117,977.48 = 47,251.16 : x
  2. Step 2: Convert to fraction form
    85,493.58/117,977.48 = 47,251.16/x
  3. Step 3: Cross multiply
    85,493.58x = 117,977.48 × 47,251.16
  4. Step 4: Simplify right side
    85,493.58x = 5,574,572,134.93
  5. Step 5: Solve for x
    x = 5,574,572,134.93/85,493.58
  6. Step 6: Final answer
    x = 65,204.57

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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.