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Finding the Fourth Proportional to 46,409.28, 64,038.24 and 27,553.92

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Solution

The fourth proportional to 46,409.28, 64,038.24 and 27,553.92 is: 38,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.28 : 64,038.24 = 27,553.92 : x
  2. Step 2: Convert to fraction form
    46,409.28/64,038.24 = 27,553.92/x
  3. Step 3: Cross multiply
    46,409.28x = 64,038.24 × 27,553.92
  4. Step 4: Simplify right side
    46,409.28x = 1,764,504,541.90
  5. Step 5: Solve for x
    x = 1,764,504,541.90/46,409.28
  6. Step 6: Final answer
    x = 38,020.51

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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.