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Finding the Fourth Proportional to 76,491.68, 114,655.49 and 36,994.46

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Solution

The fourth proportional to 76,491.68, 114,655.49 and 36,994.46 is: 55,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.68 : 114,655.49 = 36,994.46 : x
  2. Step 2: Convert to fraction form
    76,491.68/114,655.49 = 36,994.46/x
  3. Step 3: Cross multiply
    76,491.68x = 114,655.49 × 36,994.46
  4. Step 4: Simplify right side
    76,491.68x = 4,241,617,753.61
  5. Step 5: Solve for x
    x = 4,241,617,753.61/76,491.68
  6. Step 6: Final answer
    x = 55,452.01

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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.