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Finding the Fourth Proportional to 85,302.72, 127,950.38 and 29,147.84

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Solution

The fourth proportional to 85,302.72, 127,950.38 and 29,147.84 is: 43,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302.72 : 127,950.38 = 29,147.84 : x
  2. Step 2: Convert to fraction form
    85,302.72/127,950.38 = 29,147.84/x
  3. Step 3: Cross multiply
    85,302.72x = 127,950.38 × 29,147.84
  4. Step 4: Simplify right side
    85,302.72x = 3,729,477,204.18
  5. Step 5: Solve for x
    x = 3,729,477,204.18/85,302.72
  6. Step 6: Final answer
    x = 43,720.50

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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.