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Finding the Fourth Proportional to 75,812.94, 113,663.25 and 36,332.46

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Solution

The fourth proportional to 75,812.94, 113,663.25 and 36,332.46 is: 54,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812.94 : 113,663.25 = 36,332.46 : x
  2. Step 2: Convert to fraction form
    75,812.94/113,663.25 = 36,332.46/x
  3. Step 3: Cross multiply
    75,812.94x = 113,663.25 × 36,332.46
  4. Step 4: Simplify right side
    75,812.94x = 4,129,665,484.10
  5. Step 5: Solve for x
    x = 4,129,665,484.10/75,812.94
  6. Step 6: Final answer
    x = 54,471.78

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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.