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Finding the Fourth Proportional to 100,894.54, 151,361.75 and 29,818.46

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Solution

The fourth proportional to 100,894.54, 151,361.75 and 29,818.46 is: 44,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,894.54 : 151,361.75 = 29,818.46 : x
  2. Step 2: Convert to fraction form
    100,894.54/151,361.75 = 29,818.46/x
  3. Step 3: Cross multiply
    100,894.54x = 151,361.75 × 29,818.46
  4. Step 4: Simplify right side
    100,894.54x = 4,513,373,605.64
  5. Step 5: Solve for x
    x = 4,513,373,605.64/100,894.54
  6. Step 6: Final answer
    x = 44,733.58

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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.