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Finding the Fourth Proportional to 85,144.69, 127,724.73 and 32,554.63

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Solution

The fourth proportional to 85,144.69, 127,724.73 and 32,554.63 is: 48,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,144.69 : 127,724.73 = 32,554.63 : x
  2. Step 2: Convert to fraction form
    85,144.69/127,724.73 = 32,554.63/x
  3. Step 3: Cross multiply
    85,144.69x = 127,724.73 × 32,554.63
  4. Step 4: Simplify right side
    85,144.69x = 4,158,031,327.00
  5. Step 5: Solve for x
    x = 4,158,031,327.00/85,144.69
  6. Step 6: Final answer
    x = 48,834.89

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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.