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Finding the Fourth Proportional to 64,532.50, 89,051.74 and 35,853.98

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Solution

The fourth proportional to 64,532.50, 89,051.74 and 35,853.98 is: 49,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,532.50 : 89,051.74 = 35,853.98 : x
  2. Step 2: Convert to fraction form
    64,532.50/89,051.74 = 35,853.98/x
  3. Step 3: Cross multiply
    64,532.50x = 89,051.74 × 35,853.98
  4. Step 4: Simplify right side
    64,532.50x = 3,192,858,770.03
  5. Step 5: Solve for x
    x = 3,192,858,770.03/64,532.50
  6. Step 6: Final answer
    x = 49,476.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.