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Finding the Fourth Proportional to 32,557.20, 48,835.80 and 19,435.20

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Solution

The fourth proportional to 32,557.20, 48,835.80 and 19,435.20 is: 29,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.20 : 48,835.80 = 19,435.20 : x
  2. Step 2: Convert to fraction form
    32,557.20/48,835.80 = 19,435.20/x
  3. Step 3: Cross multiply
    32,557.20x = 48,835.80 × 19,435.20
  4. Step 4: Simplify right side
    32,557.20x = 949,133,540.16
  5. Step 5: Solve for x
    x = 949,133,540.16/32,557.20
  6. Step 6: Final answer
    x = 29,152.80

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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.