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Finding the Fourth Proportional to 32,905.40, 49,358.10 and 22,407.80

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Solution

The fourth proportional to 32,905.40, 49,358.10 and 22,407.80 is: 33,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.40 : 49,358.10 = 22,407.80 : x
  2. Step 2: Convert to fraction form
    32,905.40/49,358.10 = 22,407.80/x
  3. Step 3: Cross multiply
    32,905.40x = 49,358.10 × 22,407.80
  4. Step 4: Simplify right side
    32,905.40x = 1,106,006,433.18
  5. Step 5: Solve for x
    x = 1,106,006,433.18/32,905.40
  6. Step 6: Final answer
    x = 33,611.70

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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.