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Finding the Fourth Proportional to 82,782.72, 114,373.76 and 57,744

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Solution

The fourth proportional to 82,782.72, 114,373.76 and 57,744 is: 79,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.72 : 114,373.76 = 57,744 : x
  2. Step 2: Convert to fraction form
    82,782.72/114,373.76 = 57,744/x
  3. Step 3: Cross multiply
    82,782.72x = 114,373.76 × 57,744
  4. Step 4: Simplify right side
    82,782.72x = 6,604,398,397.44
  5. Step 5: Solve for x
    x = 6,604,398,397.44/82,782.72
  6. Step 6: Final answer
    x = 79,779.92

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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.