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Finding the Fourth Proportional to 74,676, 103,055.76 and 41,144.16

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Solution

The fourth proportional to 74,676, 103,055.76 and 41,144.16 is: 56,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,676 : 103,055.76 = 41,144.16 : x
  2. Step 2: Convert to fraction form
    74,676/103,055.76 = 41,144.16/x
  3. Step 3: Cross multiply
    74,676x = 103,055.76 × 41,144.16
  4. Step 4: Simplify right side
    74,676x = 4,240,142,678.36
  5. Step 5: Solve for x
    x = 4,240,142,678.36/74,676
  6. Step 6: Final answer
    x = 56,780.53

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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.