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Finding the Fourth Proportional to 30,623.40, 45,932.40 and 8,434.80

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Solution

The fourth proportional to 30,623.40, 45,932.40 and 8,434.80 is: 12,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.40 : 45,932.40 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    30,623.40/45,932.40 = 8,434.80/x
  3. Step 3: Cross multiply
    30,623.40x = 45,932.40 × 8,434.80
  4. Step 4: Simplify right side
    30,623.40x = 387,430,607.52
  5. Step 5: Solve for x
    x = 387,430,607.52/30,623.40
  6. Step 6: Final answer
    x = 12,651.46

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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.