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Finding the Fourth Proportional to 104,461.92, 156,672.82 and 29,563.98

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Solution

The fourth proportional to 104,461.92, 156,672.82 and 29,563.98 is: 44,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,461.92 : 156,672.82 = 29,563.98 : x
  2. Step 2: Convert to fraction form
    104,461.92/156,672.82 = 29,563.98/x
  3. Step 3: Cross multiply
    104,461.92x = 156,672.82 × 29,563.98
  4. Step 4: Simplify right side
    104,461.92x = 4,631,872,117.02
  5. Step 5: Solve for x
    x = 4,631,872,117.02/104,461.92
  6. Step 6: Final answer
    x = 44,340.29

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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.