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Finding the Fourth Proportional to 75,892.49, 113,661.64 and 59,990.78

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Solution

The fourth proportional to 75,892.49, 113,661.64 and 59,990.78 is: 89,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.49 : 113,661.64 = 59,990.78 : x
  2. Step 2: Convert to fraction form
    75,892.49/113,661.64 = 59,990.78/x
  3. Step 3: Cross multiply
    75,892.49x = 113,661.64 × 59,990.78
  4. Step 4: Simplify right side
    75,892.49x = 6,818,649,864.21
  5. Step 5: Solve for x
    x = 6,818,649,864.21/75,892.49
  6. Step 6: Final answer
    x = 89,846.18

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Why These Related Problems?

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