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Finding the Fourth Proportional to 109,354.82, 163,973.91 and 56,633.54

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Solution

The fourth proportional to 109,354.82, 163,973.91 and 56,633.54 is: 84,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354.82 : 163,973.91 = 56,633.54 : x
  2. Step 2: Convert to fraction form
    109,354.82/163,973.91 = 56,633.54/x
  3. Step 3: Cross multiply
    109,354.82x = 163,973.91 × 56,633.54
  4. Step 4: Simplify right side
    109,354.82x = 9,286,422,990.94
  5. Step 5: Solve for x
    x = 9,286,422,990.94/109,354.82
  6. Step 6: Final answer
    x = 84,920.11

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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.