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Finding the Fourth Proportional to 74,514.66, 102,829.26 and 40,522.41

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Solution

The fourth proportional to 74,514.66, 102,829.26 and 40,522.41 is: 55,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,514.66 : 102,829.26 = 40,522.41 : x
  2. Step 2: Convert to fraction form
    74,514.66/102,829.26 = 40,522.41/x
  3. Step 3: Cross multiply
    74,514.66x = 102,829.26 × 40,522.41
  4. Step 4: Simplify right side
    74,514.66x = 4,166,889,720.32
  5. Step 5: Solve for x
    x = 4,166,889,720.32/74,514.66
  6. Step 6: Final answer
    x = 55,920.40

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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.