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Finding the Fourth Proportional to 64,467.60, 96,624.60 and 27,027.60

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Solution

The fourth proportional to 64,467.60, 96,624.60 and 27,027.60 is: 40,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,467.60 : 96,624.60 = 27,027.60 : x
  2. Step 2: Convert to fraction form
    64,467.60/96,624.60 = 27,027.60/x
  3. Step 3: Cross multiply
    64,467.60x = 96,624.60 × 27,027.60
  4. Step 4: Simplify right side
    64,467.60x = 2,611,531,038.96
  5. Step 5: Solve for x
    x = 2,611,531,038.96/64,467.60
  6. Step 6: Final answer
    x = 40,509.20

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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.