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Finding the Fourth Proportional to 71,382.43, 106,996.29 and 46,440.24

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Solution

The fourth proportional to 71,382.43, 106,996.29 and 46,440.24 is: 69,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382.43 : 106,996.29 = 46,440.24 : x
  2. Step 2: Convert to fraction form
    71,382.43/106,996.29 = 46,440.24/x
  3. Step 3: Cross multiply
    71,382.43x = 106,996.29 × 46,440.24
  4. Step 4: Simplify right side
    71,382.43x = 4,968,933,386.71
  5. Step 5: Solve for x
    x = 4,968,933,386.71/71,382.43
  6. Step 6: Final answer
    x = 69,610.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.