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Finding the Fourth Proportional to 32,594.40, 48,891.60 and 19,288.80

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Solution

The fourth proportional to 32,594.40, 48,891.60 and 19,288.80 is: 28,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.40 : 48,891.60 = 19,288.80 : x
  2. Step 2: Convert to fraction form
    32,594.40/48,891.60 = 19,288.80/x
  3. Step 3: Cross multiply
    32,594.40x = 48,891.60 × 19,288.80
  4. Step 4: Simplify right side
    32,594.40x = 943,060,294.08
  5. Step 5: Solve for x
    x = 943,060,294.08/32,594.40
  6. Step 6: Final answer
    x = 28,933.20

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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.