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Finding the Fourth Proportional to 108,477.84, 162,711.99 and 29,591.80

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Solution

The fourth proportional to 108,477.84, 162,711.99 and 29,591.80 is: 44,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,477.84 : 162,711.99 = 29,591.80 : x
  2. Step 2: Convert to fraction form
    108,477.84/162,711.99 = 29,591.80/x
  3. Step 3: Cross multiply
    108,477.84x = 162,711.99 × 29,591.80
  4. Step 4: Simplify right side
    108,477.84x = 4,814,940,739.66
  5. Step 5: Solve for x
    x = 4,814,940,739.66/108,477.84
  6. Step 6: Final answer
    x = 44,386.40

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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.