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Finding the Fourth Proportional to 30,217.46, 45,322.56 and 8,032.53

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Solution

The fourth proportional to 30,217.46, 45,322.56 and 8,032.53 is: 12,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.46 : 45,322.56 = 8,032.53 : x
  2. Step 2: Convert to fraction form
    30,217.46/45,322.56 = 8,032.53/x
  3. Step 3: Cross multiply
    30,217.46x = 45,322.56 × 8,032.53
  4. Step 4: Simplify right side
    30,217.46x = 364,054,822.88
  5. Step 5: Solve for x
    x = 364,054,822.88/30,217.46
  6. Step 6: Final answer
    x = 12,047.83

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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.