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Finding the Fourth Proportional to 93,741, 140,630.96 and 38,337

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Solution

The fourth proportional to 93,741, 140,630.96 and 38,337 is: 57,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,741 : 140,630.96 = 38,337 : x
  2. Step 2: Convert to fraction form
    93,741/140,630.96 = 38,337/x
  3. Step 3: Cross multiply
    93,741x = 140,630.96 × 38,337
  4. Step 4: Simplify right side
    93,741x = 5,391,369,113.52
  5. Step 5: Solve for x
    x = 5,391,369,113.52/93,741
  6. Step 6: Final answer
    x = 57,513.46

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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.