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Finding the Fourth Proportional to 82,938.72, 114,455.82 and 47,130.66

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Solution

The fourth proportional to 82,938.72, 114,455.82 and 47,130.66 is: 65,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938.72 : 114,455.82 = 47,130.66 : x
  2. Step 2: Convert to fraction form
    82,938.72/114,455.82 = 47,130.66/x
  3. Step 3: Cross multiply
    82,938.72x = 114,455.82 × 47,130.66
  4. Step 4: Simplify right side
    82,938.72x = 5,394,378,337.44
  5. Step 5: Solve for x
    x = 5,394,378,337.44/82,938.72
  6. Step 6: Final answer
    x = 65,040.53

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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.