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Finding the Fourth Proportional to 64,755.64, 97,144.80 and 29,698.84

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Solution

The fourth proportional to 64,755.64, 97,144.80 and 29,698.84 is: 44,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,755.64 : 97,144.80 = 29,698.84 : x
  2. Step 2: Convert to fraction form
    64,755.64/97,144.80 = 29,698.84/x
  3. Step 3: Cross multiply
    64,755.64x = 97,144.80 × 29,698.84
  4. Step 4: Simplify right side
    64,755.64x = 2,885,087,872.03
  5. Step 5: Solve for x
    x = 2,885,087,872.03/64,755.64
  6. Step 6: Final answer
    x = 44,553.46

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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.