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Finding the Fourth Proportional to 32,901.60, 49,341.60 and 12,122.40

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Solution

The fourth proportional to 32,901.60, 49,341.60 and 12,122.40 is: 18,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.60 : 49,341.60 = 12,122.40 : x
  2. Step 2: Convert to fraction form
    32,901.60/49,341.60 = 12,122.40/x
  3. Step 3: Cross multiply
    32,901.60x = 49,341.60 × 12,122.40
  4. Step 4: Simplify right side
    32,901.60x = 598,138,611.84
  5. Step 5: Solve for x
    x = 598,138,611.84/32,901.60
  6. Step 6: Final answer
    x = 18,179.62

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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.