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Finding the Fourth Proportional to 64,314.40, 96,471.60 and 22,765.60

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Solution

The fourth proportional to 64,314.40, 96,471.60 and 22,765.60 is: 34,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314.40 : 96,471.60 = 22,765.60 : x
  2. Step 2: Convert to fraction form
    64,314.40/96,471.60 = 22,765.60/x
  3. Step 3: Cross multiply
    64,314.40x = 96,471.60 × 22,765.60
  4. Step 4: Simplify right side
    64,314.40x = 2,196,233,856.96
  5. Step 5: Solve for x
    x = 2,196,233,856.96/64,314.40
  6. Step 6: Final answer
    x = 34,148.40

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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.