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Finding the Fourth Proportional to 104,906.46, 157,274.28 and 48,781.92

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Solution

The fourth proportional to 104,906.46, 157,274.28 and 48,781.92 is: 73,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906.46 : 157,274.28 = 48,781.92 : x
  2. Step 2: Convert to fraction form
    104,906.46/157,274.28 = 48,781.92/x
  3. Step 3: Cross multiply
    104,906.46x = 157,274.28 × 48,781.92
  4. Step 4: Simplify right side
    104,906.46x = 7,672,141,345.02
  5. Step 5: Solve for x
    x = 7,672,141,345.02/104,906.46
  6. Step 6: Final answer
    x = 73,133.16

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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.