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Finding the Fourth Proportional to 30,687.83, 45,776.76 and 30,180.36

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Solution

The fourth proportional to 30,687.83, 45,776.76 and 30,180.36 is: 45,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,687.83 : 45,776.76 = 30,180.36 : x
  2. Step 2: Convert to fraction form
    30,687.83/45,776.76 = 30,180.36/x
  3. Step 3: Cross multiply
    30,687.83x = 45,776.76 × 30,180.36
  4. Step 4: Simplify right side
    30,687.83x = 1,381,559,096.43
  5. Step 5: Solve for x
    x = 1,381,559,096.43/30,687.83
  6. Step 6: Final answer
    x = 45,019.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.