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Finding the Fourth Proportional to 76,241.13, 105,213.01 and 42,250.18

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Solution

The fourth proportional to 76,241.13, 105,213.01 and 42,250.18 is: 58,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,241.13 : 105,213.01 = 42,250.18 : x
  2. Step 2: Convert to fraction form
    76,241.13/105,213.01 = 42,250.18/x
  3. Step 3: Cross multiply
    76,241.13x = 105,213.01 × 42,250.18
  4. Step 4: Simplify right side
    76,241.13x = 4,445,268,518.68
  5. Step 5: Solve for x
    x = 4,445,268,518.68/76,241.13
  6. Step 6: Final answer
    x = 58,305.38

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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.