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Finding the Fourth Proportional to 30,471.90, 45,708.80 and 8,285.77

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Solution

The fourth proportional to 30,471.90, 45,708.80 and 8,285.77 is: 12,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.90 : 45,708.80 = 8,285.77 : x
  2. Step 2: Convert to fraction form
    30,471.90/45,708.80 = 8,285.77/x
  3. Step 3: Cross multiply
    30,471.90x = 45,708.80 × 8,285.77
  4. Step 4: Simplify right side
    30,471.90x = 378,732,619.48
  5. Step 5: Solve for x
    x = 378,732,619.48/30,471.90
  6. Step 6: Final answer
    x = 12,428.91

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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.