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Finding the Fourth Proportional to 102,141.60, 153,236.99 and 32,020.91

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Solution

The fourth proportional to 102,141.60, 153,236.99 and 32,020.91 is: 48,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,141.60 : 153,236.99 = 32,020.91 : x
  2. Step 2: Convert to fraction form
    102,141.60/153,236.99 = 32,020.91/x
  3. Step 3: Cross multiply
    102,141.60x = 153,236.99 × 32,020.91
  4. Step 4: Simplify right side
    102,141.60x = 4,906,787,865.46
  5. Step 5: Solve for x
    x = 4,906,787,865.46/102,141.60
  6. Step 6: Final answer
    x = 48,039.07

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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.