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Finding the Fourth Proportional to 75,642.51, 104,385.80 and 41,650.30

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Solution

The fourth proportional to 75,642.51, 104,385.80 and 41,650.30 is: 57,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.51 : 104,385.80 = 41,650.30 : x
  2. Step 2: Convert to fraction form
    75,642.51/104,385.80 = 41,650.30/x
  3. Step 3: Cross multiply
    75,642.51x = 104,385.80 × 41,650.30
  4. Step 4: Simplify right side
    75,642.51x = 4,347,699,885.74
  5. Step 5: Solve for x
    x = 4,347,699,885.74/75,642.51
  6. Step 6: Final answer
    x = 57,476.94

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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.