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Finding the Fourth Proportional to 74,678.66, 103,056.49 and 41,144.66

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Solution

The fourth proportional to 74,678.66, 103,056.49 and 41,144.66 is: 56,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,678.66 : 103,056.49 = 41,144.66 : x
  2. Step 2: Convert to fraction form
    74,678.66/103,056.49 = 41,144.66/x
  3. Step 3: Cross multiply
    74,678.66x = 103,056.49 × 41,144.66
  4. Step 4: Simplify right side
    74,678.66x = 4,240,224,241.84
  5. Step 5: Solve for x
    x = 4,240,224,241.84/74,678.66
  6. Step 6: Final answer
    x = 56,779.60

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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.