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Finding the Fourth Proportional to 97,077.96, 133,949.70 and 54,627.48

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Solution

The fourth proportional to 97,077.96, 133,949.70 and 54,627.48 is: 75,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077.96 : 133,949.70 = 54,627.48 : x
  2. Step 2: Convert to fraction form
    97,077.96/133,949.70 = 54,627.48/x
  3. Step 3: Cross multiply
    97,077.96x = 133,949.70 × 54,627.48
  4. Step 4: Simplify right side
    97,077.96x = 7,317,334,557.76
  5. Step 5: Solve for x
    x = 7,317,334,557.76/97,077.96
  6. Step 6: Final answer
    x = 75,375.86

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1.5x scale

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.