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Finding the Fourth Proportional to 75,641.88, 104,378.58 and 41,649.96

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Solution

The fourth proportional to 75,641.88, 104,378.58 and 41,649.96 is: 57,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.88 : 104,378.58 = 41,649.96 : x
  2. Step 2: Convert to fraction form
    75,641.88/104,378.58 = 41,649.96/x
  3. Step 3: Cross multiply
    75,641.88x = 104,378.58 × 41,649.96
  4. Step 4: Simplify right side
    75,641.88x = 4,347,363,681.86
  5. Step 5: Solve for x
    x = 4,347,363,681.86/75,641.88
  6. Step 6: Final answer
    x = 57,472.97

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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.