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Finding the Fourth Proportional to 75,200.39, 103,776.54 and 41,666.39

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Solution

The fourth proportional to 75,200.39, 103,776.54 and 41,666.39 is: 57,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.39 : 103,776.54 = 41,666.39 : x
  2. Step 2: Convert to fraction form
    75,200.39/103,776.54 = 41,666.39/x
  3. Step 3: Cross multiply
    75,200.39x = 103,776.54 × 41,666.39
  4. Step 4: Simplify right side
    75,200.39x = 4,323,994,204.18
  5. Step 5: Solve for x
    x = 4,323,994,204.18/75,200.39
  6. Step 6: Final answer
    x = 57,499.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.