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Finding the Fourth Proportional to 105,689.65, 145,851.68 and 57,941.97

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Solution

The fourth proportional to 105,689.65, 145,851.68 and 57,941.97 is: 79,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,689.65 : 145,851.68 = 57,941.97 : x
  2. Step 2: Convert to fraction form
    105,689.65/145,851.68 = 57,941.97/x
  3. Step 3: Cross multiply
    105,689.65x = 145,851.68 × 57,941.97
  4. Step 4: Simplify right side
    105,689.65x = 8,450,933,377.30
  5. Step 5: Solve for x
    x = 8,450,933,377.30/105,689.65
  6. Step 6: Final answer
    x = 79,959.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.