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Finding the Fourth Proportional to 103,086.96, 154,630.44 and 47,675.76

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Solution

The fourth proportional to 103,086.96, 154,630.44 and 47,675.76 is: 71,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,086.96 : 154,630.44 = 47,675.76 : x
  2. Step 2: Convert to fraction form
    103,086.96/154,630.44 = 47,675.76/x
  3. Step 3: Cross multiply
    103,086.96x = 154,630.44 × 47,675.76
  4. Step 4: Simplify right side
    103,086.96x = 7,372,123,746.13
  5. Step 5: Solve for x
    x = 7,372,123,746.13/103,086.96
  6. Step 6: Final answer
    x = 71,513.64

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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.