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Finding the Fourth Proportional to 32,903.60, 49,387.80 and 16,282.40

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Solution

The fourth proportional to 32,903.60, 49,387.80 and 16,282.40 is: 24,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.60 : 49,387.80 = 16,282.40 : x
  2. Step 2: Convert to fraction form
    32,903.60/49,387.80 = 16,282.40/x
  3. Step 3: Cross multiply
    32,903.60x = 49,387.80 × 16,282.40
  4. Step 4: Simplify right side
    32,903.60x = 804,151,914.72
  5. Step 5: Solve for x
    x = 804,151,914.72/32,903.60
  6. Step 6: Final answer
    x = 24,439.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.