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Finding the Fourth Proportional to 64,848, 97,216.32 and 22,722.24

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Solution

The fourth proportional to 64,848, 97,216.32 and 22,722.24 is: 34,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,848 : 97,216.32 = 22,722.24 : x
  2. Step 2: Convert to fraction form
    64,848/97,216.32 = 22,722.24/x
  3. Step 3: Cross multiply
    64,848x = 97,216.32 × 22,722.24
  4. Step 4: Simplify right side
    64,848x = 2,208,972,554.96
  5. Step 5: Solve for x
    x = 2,208,972,554.96/64,848
  6. Step 6: Final answer
    x = 34,063.85

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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.