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Finding the Fourth Proportional to 82,689.50, 114,121.14 and 46,400.96

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Solution

The fourth proportional to 82,689.50, 114,121.14 and 46,400.96 is: 64,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,689.50 : 114,121.14 = 46,400.96 : x
  2. Step 2: Convert to fraction form
    82,689.50/114,121.14 = 46,400.96/x
  3. Step 3: Cross multiply
    82,689.50x = 114,121.14 × 46,400.96
  4. Step 4: Simplify right side
    82,689.50x = 5,295,330,452.29
  5. Step 5: Solve for x
    x = 5,295,330,452.29/82,689.50
  6. Step 6: Final answer
    x = 64,038.73

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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.