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Finding the Fourth Proportional to 108,264, 162,376.82 and 29,384.36

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Solution

The fourth proportional to 108,264, 162,376.82 and 29,384.36 is: 44,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,264 : 162,376.82 = 29,384.36 : x
  2. Step 2: Convert to fraction form
    108,264/162,376.82 = 29,384.36/x
  3. Step 3: Cross multiply
    108,264x = 162,376.82 × 29,384.36
  4. Step 4: Simplify right side
    108,264x = 4,771,338,934.54
  5. Step 5: Solve for x
    x = 4,771,338,934.54/108,264
  6. Step 6: Final answer
    x = 44,071.33

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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.