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Finding the Fourth Proportional to 32,558.40, 48,799.20 and 24,340.80

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Solution

The fourth proportional to 32,558.40, 48,799.20 and 24,340.80 is: 36,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,558.40 : 48,799.20 = 24,340.80 : x
  2. Step 2: Convert to fraction form
    32,558.40/48,799.20 = 24,340.80/x
  3. Step 3: Cross multiply
    32,558.40x = 48,799.20 × 24,340.80
  4. Step 4: Simplify right side
    32,558.40x = 1,187,811,567.36
  5. Step 5: Solve for x
    x = 1,187,811,567.36/32,558.40
  6. Step 6: Final answer
    x = 36,482.49

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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.