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Finding the Fourth Proportional to 32,533.60, 48,766.80 and 17,711.20

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Solution

The fourth proportional to 32,533.60, 48,766.80 and 17,711.20 is: 26,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.60 : 48,766.80 = 17,711.20 : x
  2. Step 2: Convert to fraction form
    32,533.60/48,766.80 = 17,711.20/x
  3. Step 3: Cross multiply
    32,533.60x = 48,766.80 × 17,711.20
  4. Step 4: Simplify right side
    32,533.60x = 863,718,548.16
  5. Step 5: Solve for x
    x = 863,718,548.16/32,533.60
  6. Step 6: Final answer
    x = 26,548.51

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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.