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Finding the Fourth Proportional to 108,852.49, 163,341.78 and 45,667

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Solution

The fourth proportional to 108,852.49, 163,341.78 and 45,667 is: 68,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,852.49 : 163,341.78 = 45,667 : x
  2. Step 2: Convert to fraction form
    108,852.49/163,341.78 = 45,667/x
  3. Step 3: Cross multiply
    108,852.49x = 163,341.78 × 45,667
  4. Step 4: Simplify right side
    108,852.49x = 7,459,329,067.26
  5. Step 5: Solve for x
    x = 7,459,329,067.26/108,852.49
  6. Step 6: Final answer
    x = 68,526.95

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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.