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Finding the Fourth Proportional to 76,041.89, 104,936.32 and 42,051.59

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Solution

The fourth proportional to 76,041.89, 104,936.32 and 42,051.59 is: 58,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,041.89 : 104,936.32 = 42,051.59 : x
  2. Step 2: Convert to fraction form
    76,041.89/104,936.32 = 42,051.59/x
  3. Step 3: Cross multiply
    76,041.89x = 104,936.32 × 42,051.59
  4. Step 4: Simplify right side
    76,041.89x = 4,412,739,104.75
  5. Step 5: Solve for x
    x = 4,412,739,104.75/76,041.89
  6. Step 6: Final answer
    x = 58,030.37

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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.