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Finding the Fourth Proportional to 93,646.50, 140,469.89 and 38,242.50

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Solution

The fourth proportional to 93,646.50, 140,469.89 and 38,242.50 is: 57,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,646.50 : 140,469.89 = 38,242.50 : x
  2. Step 2: Convert to fraction form
    93,646.50/140,469.89 = 38,242.50/x
  3. Step 3: Cross multiply
    93,646.50x = 140,469.89 × 38,242.50
  4. Step 4: Simplify right side
    93,646.50x = 5,371,919,577.11
  5. Step 5: Solve for x
    x = 5,371,919,577.11/93,646.50
  6. Step 6: Final answer
    x = 57,363.81

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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.