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Finding the Fourth Proportional to 65,296.56, 97,944.82 and 30,217.08

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Solution

The fourth proportional to 65,296.56, 97,944.82 and 30,217.08 is: 45,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,296.56 : 97,944.82 = 30,217.08 : x
  2. Step 2: Convert to fraction form
    65,296.56/97,944.82 = 30,217.08/x
  3. Step 3: Cross multiply
    65,296.56x = 97,944.82 × 30,217.08
  4. Step 4: Simplify right side
    65,296.56x = 2,959,606,461.53
  5. Step 5: Solve for x
    x = 2,959,606,461.53/65,296.56
  6. Step 6: Final answer
    x = 45,325.61

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1.5x scale

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.