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Finding the Fourth Proportional to 85,895.77, 118,537.14 and 47,656.03

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Solution

The fourth proportional to 85,895.77, 118,537.14 and 47,656.03 is: 65,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,895.77 : 118,537.14 = 47,656.03 : x
  2. Step 2: Convert to fraction form
    85,895.77/118,537.14 = 47,656.03/x
  3. Step 3: Cross multiply
    85,895.77x = 118,537.14 × 47,656.03
  4. Step 4: Simplify right side
    85,895.77x = 5,649,009,499.95
  5. Step 5: Solve for x
    x = 5,649,009,499.95/85,895.77
  6. Step 6: Final answer
    x = 65,765.86

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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.