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Finding the Fourth Proportional to 93,973.66, 140,982.66 and 31,644.16

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Solution

The fourth proportional to 93,973.66, 140,982.66 and 31,644.16 is: 47,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,973.66 : 140,982.66 = 31,644.16 : x
  2. Step 2: Convert to fraction form
    93,973.66/140,982.66 = 31,644.16/x
  3. Step 3: Cross multiply
    93,973.66x = 140,982.66 × 31,644.16
  4. Step 4: Simplify right side
    93,973.66x = 4,461,277,850.27
  5. Step 5: Solve for x
    x = 4,461,277,850.27/93,973.66
  6. Step 6: Final answer
    x = 47,473.71

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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.