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Finding the Fourth Proportional to 32,902.60, 49,378.20 and 21,805.60

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Solution

The fourth proportional to 32,902.60, 49,378.20 and 21,805.60 is: 32,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.60 : 49,378.20 = 21,805.60 : x
  2. Step 2: Convert to fraction form
    32,902.60/49,378.20 = 21,805.60/x
  3. Step 3: Cross multiply
    32,902.60x = 49,378.20 × 21,805.60
  4. Step 4: Simplify right side
    32,902.60x = 1,076,721,277.92
  5. Step 5: Solve for x
    x = 1,076,721,277.92/32,902.60
  6. Step 6: Final answer
    x = 32,724.50

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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.