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Finding the Fourth Proportional to 64,427.98, 96,648.58 and 22,308

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Solution

The fourth proportional to 64,427.98, 96,648.58 and 22,308 is: 33,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,427.98 : 96,648.58 = 22,308 : x
  2. Step 2: Convert to fraction form
    64,427.98/96,648.58 = 22,308/x
  3. Step 3: Cross multiply
    64,427.98x = 96,648.58 × 22,308
  4. Step 4: Simplify right side
    64,427.98x = 2,156,036,522.64
  5. Step 5: Solve for x
    x = 2,156,036,522.64/64,427.98
  6. Step 6: Final answer
    x = 33,464.29

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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.