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Finding the Fourth Proportional to 64,005.31, 95,916.46 and 47,004.97

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Solution

The fourth proportional to 64,005.31, 95,916.46 and 47,004.97 is: 70,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005.31 : 95,916.46 = 47,004.97 : x
  2. Step 2: Convert to fraction form
    64,005.31/95,916.46 = 47,004.97/x
  3. Step 3: Cross multiply
    64,005.31x = 95,916.46 × 47,004.97
  4. Step 4: Simplify right side
    64,005.31x = 4,508,550,324.81
  5. Step 5: Solve for x
    x = 4,508,550,324.81/64,005.31
  6. Step 6: Final answer
    x = 70,440.25

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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.