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Finding the Fourth Proportional to 108,503.48, 162,709.54 and 41,024.09

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Solution

The fourth proportional to 108,503.48, 162,709.54 and 41,024.09 is: 61,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,503.48 : 162,709.54 = 41,024.09 : x
  2. Step 2: Convert to fraction form
    108,503.48/162,709.54 = 41,024.09/x
  3. Step 3: Cross multiply
    108,503.48x = 162,709.54 × 41,024.09
  4. Step 4: Simplify right side
    108,503.48x = 6,675,011,117.03
  5. Step 5: Solve for x
    x = 6,675,011,117.03/108,503.48
  6. Step 6: Final answer
    x = 61,518.87

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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.