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Finding the Fourth Proportional to 46,930.56, 64,744.32 and 27,807.36

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Solution

The fourth proportional to 46,930.56, 64,744.32 and 27,807.36 is: 38,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930.56 : 64,744.32 = 27,807.36 : x
  2. Step 2: Convert to fraction form
    46,930.56/64,744.32 = 27,807.36/x
  3. Step 3: Cross multiply
    46,930.56x = 64,744.32 × 27,807.36
  4. Step 4: Simplify right side
    46,930.56x = 1,800,368,614.20
  5. Step 5: Solve for x
    x = 1,800,368,614.20/46,930.56
  6. Step 6: Final answer
    x = 38,362.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.