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Finding the Fourth Proportional to 85,355.68, 117,811.92 and 51,849.76

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Solution

The fourth proportional to 85,355.68, 117,811.92 and 51,849.76 is: 71,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,355.68 : 117,811.92 = 51,849.76 : x
  2. Step 2: Convert to fraction form
    85,355.68/117,811.92 = 51,849.76/x
  3. Step 3: Cross multiply
    85,355.68x = 117,811.92 × 51,849.76
  4. Step 4: Simplify right side
    85,355.68x = 6,108,519,777.14
  5. Step 5: Solve for x
    x = 6,108,519,777.14/85,355.68
  6. Step 6: Final answer
    x = 71,565.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.