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Finding the Fourth Proportional to 75,466.56, 104,213.88 and 48,671.76

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Solution

The fourth proportional to 75,466.56, 104,213.88 and 48,671.76 is: 67,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,466.56 : 104,213.88 = 48,671.76 : x
  2. Step 2: Convert to fraction form
    75,466.56/104,213.88 = 48,671.76/x
  3. Step 3: Cross multiply
    75,466.56x = 104,213.88 × 48,671.76
  4. Step 4: Simplify right side
    75,466.56x = 5,072,272,956.03
  5. Step 5: Solve for x
    x = 5,072,272,956.03/75,466.56
  6. Step 6: Final answer
    x = 67,212.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.