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Finding the Fourth Proportional to 75,647.92, 104,393.25 and 41,655.70

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Solution

The fourth proportional to 75,647.92, 104,393.25 and 41,655.70 is: 57,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,647.92 : 104,393.25 = 41,655.70 : x
  2. Step 2: Convert to fraction form
    75,647.92/104,393.25 = 41,655.70/x
  3. Step 3: Cross multiply
    75,647.92x = 104,393.25 × 41,655.70
  4. Step 4: Simplify right side
    75,647.92x = 4,348,573,904.03
  5. Step 5: Solve for x
    x = 4,348,573,904.03/75,647.92
  6. Step 6: Final answer
    x = 57,484.38

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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.