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Finding the Fourth Proportional to 74,412.54, 102,690.38 and 40,421.66

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Solution

The fourth proportional to 74,412.54, 102,690.38 and 40,421.66 is: 55,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412.54 : 102,690.38 = 40,421.66 : x
  2. Step 2: Convert to fraction form
    74,412.54/102,690.38 = 40,421.66/x
  3. Step 3: Cross multiply
    74,412.54x = 102,690.38 × 40,421.66
  4. Step 4: Simplify right side
    74,412.54x = 4,150,915,213.23
  5. Step 5: Solve for x
    x = 4,150,915,213.23/74,412.54
  6. Step 6: Final answer
    x = 55,782.47

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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.