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Finding the Fourth Proportional to 93,965.92, 140,948.96 and 31,636.48

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Solution

The fourth proportional to 93,965.92, 140,948.96 and 31,636.48 is: 47,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,965.92 : 140,948.96 = 31,636.48 : x
  2. Step 2: Convert to fraction form
    93,965.92/140,948.96 = 31,636.48/x
  3. Step 3: Cross multiply
    93,965.92x = 140,948.96 × 31,636.48
  4. Step 4: Simplify right side
    93,965.92x = 4,459,128,954.06
  5. Step 5: Solve for x
    x = 4,459,128,954.06/93,965.92
  6. Step 6: Final answer
    x = 47,454.75

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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.