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Finding the Fourth Proportional to 116,644, 174,991.92 and 42,772

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Solution

The fourth proportional to 116,644, 174,991.92 and 42,772 is: 64,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,644 : 174,991.92 = 42,772 : x
  2. Step 2: Convert to fraction form
    116,644/174,991.92 = 42,772/x
  3. Step 3: Cross multiply
    116,644x = 174,991.92 × 42,772
  4. Step 4: Simplify right side
    116,644x = 7,484,754,402.24
  5. Step 5: Solve for x
    x = 7,484,754,402.24/116,644
  6. Step 6: Final answer
    x = 64,167.50

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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.