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Finding the Fourth Proportional to 32,820.30, 49,230.45 and 30,285.90

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Solution

The fourth proportional to 32,820.30, 49,230.45 and 30,285.90 is: 45,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.30 : 49,230.45 = 30,285.90 : x
  2. Step 2: Convert to fraction form
    32,820.30/49,230.45 = 30,285.90/x
  3. Step 3: Cross multiply
    32,820.30x = 49,230.45 × 30,285.90
  4. Step 4: Simplify right side
    32,820.30x = 1,490,988,485.66
  5. Step 5: Solve for x
    x = 1,490,988,485.66/32,820.30
  6. Step 6: Final answer
    x = 45,428.85

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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.