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Finding the Fourth Proportional to 74,695.65, 103,080 and 40,704.14

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Solution

The fourth proportional to 74,695.65, 103,080 and 40,704.14 is: 56,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,695.65 : 103,080 = 40,704.14 : x
  2. Step 2: Convert to fraction form
    74,695.65/103,080 = 40,704.14/x
  3. Step 3: Cross multiply
    74,695.65x = 103,080 × 40,704.14
  4. Step 4: Simplify right side
    74,695.65x = 4,195,782,751.20
  5. Step 5: Solve for x
    x = 4,195,782,751.20/74,695.65
  6. Step 6: Final answer
    x = 56,171.71

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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.