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Finding the Fourth Proportional to 75,505.07, 113,345.10 and 40,513.07

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Solution

The fourth proportional to 75,505.07, 113,345.10 and 40,513.07 is: 60,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,505.07 : 113,345.10 = 40,513.07 : x
  2. Step 2: Convert to fraction form
    75,505.07/113,345.10 = 40,513.07/x
  3. Step 3: Cross multiply
    75,505.07x = 113,345.10 × 40,513.07
  4. Step 4: Simplify right side
    75,505.07x = 4,591,958,253.82
  5. Step 5: Solve for x
    x = 4,591,958,253.82/75,505.07
  6. Step 6: Final answer
    x = 60,816.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.