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Finding the Fourth Proportional to 108,892.89, 163,362.42 and 38,772

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Solution

The fourth proportional to 108,892.89, 163,362.42 and 38,772 is: 58,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,892.89 : 163,362.42 = 38,772 : x
  2. Step 2: Convert to fraction form
    108,892.89/163,362.42 = 38,772/x
  3. Step 3: Cross multiply
    108,892.89x = 163,362.42 × 38,772
  4. Step 4: Simplify right side
    108,892.89x = 6,333,887,748.24
  5. Step 5: Solve for x
    x = 6,333,887,748.24/108,892.89
  6. Step 6: Final answer
    x = 58,166.22

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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.