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Finding the Fourth Proportional to 74,494.66, 102,802.63 and 40,960.66

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Solution

The fourth proportional to 74,494.66, 102,802.63 and 40,960.66 is: 56,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,494.66 : 102,802.63 = 40,960.66 : x
  2. Step 2: Convert to fraction form
    74,494.66/102,802.63 = 40,960.66/x
  3. Step 3: Cross multiply
    74,494.66x = 102,802.63 × 40,960.66
  4. Step 4: Simplify right side
    74,494.66x = 4,210,863,574.54
  5. Step 5: Solve for x
    x = 4,210,863,574.54/74,494.66
  6. Step 6: Final answer
    x = 56,525.71

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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.