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Finding the Fourth Proportional to 97,047.92, 145,338.60 and 55,368.56

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Solution

The fourth proportional to 97,047.92, 145,338.60 and 55,368.56 is: 82,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,047.92 : 145,338.60 = 55,368.56 : x
  2. Step 2: Convert to fraction form
    97,047.92/145,338.60 = 55,368.56/x
  3. Step 3: Cross multiply
    97,047.92x = 145,338.60 × 55,368.56
  4. Step 4: Simplify right side
    97,047.92x = 8,047,188,994.42
  5. Step 5: Solve for x
    x = 8,047,188,994.42/97,047.92
  6. Step 6: Final answer
    x = 82,919.75

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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.