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Finding the Fourth Proportional to 93,963.22, 140,931.16 and 27,385.48

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Solution

The fourth proportional to 93,963.22, 140,931.16 and 27,385.48 is: 41,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,963.22 : 140,931.16 = 27,385.48 : x
  2. Step 2: Convert to fraction form
    93,963.22/140,931.16 = 27,385.48/x
  3. Step 3: Cross multiply
    93,963.22x = 140,931.16 × 27,385.48
  4. Step 4: Simplify right side
    93,963.22x = 3,859,467,463.56
  5. Step 5: Solve for x
    x = 3,859,467,463.56/93,963.22
  6. Step 6: Final answer
    x = 41,074.24

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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.