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Finding the Fourth Proportional to 32,713.70, 49,030.94 and 14,920

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Solution

The fourth proportional to 32,713.70, 49,030.94 and 14,920 is: 22,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.70 : 49,030.94 = 14,920 : x
  2. Step 2: Convert to fraction form
    32,713.70/49,030.94 = 14,920/x
  3. Step 3: Cross multiply
    32,713.70x = 49,030.94 × 14,920
  4. Step 4: Simplify right side
    32,713.70x = 731,541,624.80
  5. Step 5: Solve for x
    x = 731,541,624.80/32,713.70
  6. Step 6: Final answer
    x = 22,361.93

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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.