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Finding the Fourth Proportional to 93,902.16, 140,853.16 and 22,824.40

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Solution

The fourth proportional to 93,902.16, 140,853.16 and 22,824.40 is: 34,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,902.16 : 140,853.16 = 22,824.40 : x
  2. Step 2: Convert to fraction form
    93,902.16/140,853.16 = 22,824.40/x
  3. Step 3: Cross multiply
    93,902.16x = 140,853.16 × 22,824.40
  4. Step 4: Simplify right side
    93,902.16x = 3,214,888,865.10
  5. Step 5: Solve for x
    x = 3,214,888,865.10/93,902.16
  6. Step 6: Final answer
    x = 34,236.58

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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.