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Finding the Fourth Proportional to 64,001.28, 95,916.96 and 34,009.20

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Solution

The fourth proportional to 64,001.28, 95,916.96 and 34,009.20 is: 50,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,001.28 : 95,916.96 = 34,009.20 : x
  2. Step 2: Convert to fraction form
    64,001.28/95,916.96 = 34,009.20/x
  3. Step 3: Cross multiply
    64,001.28x = 95,916.96 × 34,009.20
  4. Step 4: Simplify right side
    64,001.28x = 3,262,059,076.03
  5. Step 5: Solve for x
    x = 3,262,059,076.03/64,001.28
  6. Step 6: Final answer
    x = 50,968.65

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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.