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Finding the Fourth Proportional to 64,905.12, 97,272.84 and 33,288.48

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Solution

The fourth proportional to 64,905.12, 97,272.84 and 33,288.48 is: 49,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,905.12 : 97,272.84 = 33,288.48 : x
  2. Step 2: Convert to fraction form
    64,905.12/97,272.84 = 33,288.48/x
  3. Step 3: Cross multiply
    64,905.12x = 97,272.84 × 33,288.48
  4. Step 4: Simplify right side
    64,905.12x = 3,238,064,988.88
  5. Step 5: Solve for x
    x = 3,238,064,988.88/64,905.12
  6. Step 6: Final answer
    x = 49,889.21

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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.