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Finding the Fourth Proportional to 82,675.81, 114,089.31 and 48,685.73

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Solution

The fourth proportional to 82,675.81, 114,089.31 and 48,685.73 is: 67,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675.81 : 114,089.31 = 48,685.73 : x
  2. Step 2: Convert to fraction form
    82,675.81/114,089.31 = 48,685.73/x
  3. Step 3: Cross multiply
    82,675.81x = 114,089.31 × 48,685.73
  4. Step 4: Simplify right side
    82,675.81x = 5,554,520,772.10
  5. Step 5: Solve for x
    x = 5,554,520,772.10/82,675.81
  6. Step 6: Final answer
    x = 67,184.35

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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.