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Finding the Fourth Proportional to 108,000.24, 162,024.03 and 33,126

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Solution

The fourth proportional to 108,000.24, 162,024.03 and 33,126 is: 49,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000.24 : 162,024.03 = 33,126 : x
  2. Step 2: Convert to fraction form
    108,000.24/162,024.03 = 33,126/x
  3. Step 3: Cross multiply
    108,000.24x = 162,024.03 × 33,126
  4. Step 4: Simplify right side
    108,000.24x = 5,367,208,017.78
  5. Step 5: Solve for x
    x = 5,367,208,017.78/108,000.24
  6. Step 6: Final answer
    x = 49,696.26

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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.