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Finding the Fourth Proportional to 74,605.74, 102,923.22 and 49,079.26

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Solution

The fourth proportional to 74,605.74, 102,923.22 and 49,079.26 is: 67,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,605.74 : 102,923.22 = 49,079.26 : x
  2. Step 2: Convert to fraction form
    74,605.74/102,923.22 = 49,079.26/x
  3. Step 3: Cross multiply
    74,605.74x = 102,923.22 × 49,079.26
  4. Step 4: Simplify right side
    74,605.74x = 5,051,395,474.42
  5. Step 5: Solve for x
    x = 5,051,395,474.42/74,605.74
  6. Step 6: Final answer
    x = 67,707.87

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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.