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Finding the Fourth Proportional to 82,638.65, 114,031.53 and 48,639.62

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Solution

The fourth proportional to 82,638.65, 114,031.53 and 48,639.62 is: 67,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638.65 : 114,031.53 = 48,639.62 : x
  2. Step 2: Convert to fraction form
    82,638.65/114,031.53 = 48,639.62/x
  3. Step 3: Cross multiply
    82,638.65x = 114,031.53 × 48,639.62
  4. Step 4: Simplify right side
    82,638.65x = 5,546,450,287.22
  5. Step 5: Solve for x
    x = 5,546,450,287.22/82,638.65
  6. Step 6: Final answer
    x = 67,116.90

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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.