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Finding the Fourth Proportional to 82,885.68, 114,348 and 57,749.76

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Solution

The fourth proportional to 82,885.68, 114,348 and 57,749.76 is: 79,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,885.68 : 114,348 = 57,749.76 : x
  2. Step 2: Convert to fraction form
    82,885.68/114,348 = 57,749.76/x
  3. Step 3: Cross multiply
    82,885.68x = 114,348 × 57,749.76
  4. Step 4: Simplify right side
    82,885.68x = 6,603,569,556.48
  5. Step 5: Solve for x
    x = 6,603,569,556.48/82,885.68
  6. Step 6: Final answer
    x = 79,670.81

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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.