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Finding the Fourth Proportional to 36,614.30, 54,875.25 and 29,188.22

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Solution

The fourth proportional to 36,614.30, 54,875.25 and 29,188.22 is: 43,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,614.30 : 54,875.25 = 29,188.22 : x
  2. Step 2: Convert to fraction form
    36,614.30/54,875.25 = 29,188.22/x
  3. Step 3: Cross multiply
    36,614.30x = 54,875.25 × 29,188.22
  4. Step 4: Simplify right side
    36,614.30x = 1,601,710,595.18
  5. Step 5: Solve for x
    x = 1,601,710,595.18/36,614.30
  6. Step 6: Final answer
    x = 43,745.50

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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.