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Finding the Fourth Proportional to 74,457.90, 102,752.69 and 40,466.38

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Solution

The fourth proportional to 74,457.90, 102,752.69 and 40,466.38 is: 55,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,457.90 : 102,752.69 = 40,466.38 : x
  2. Step 2: Convert to fraction form
    74,457.90/102,752.69 = 40,466.38/x
  3. Step 3: Cross multiply
    74,457.90x = 102,752.69 × 40,466.38
  4. Step 4: Simplify right side
    74,457.90x = 4,158,029,399.56
  5. Step 5: Solve for x
    x = 4,158,029,399.56/74,457.90
  6. Step 6: Final answer
    x = 55,844.04

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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.