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Finding the Fourth Proportional to 64,097.28, 96,192 and 39,490.56

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Solution

The fourth proportional to 64,097.28, 96,192 and 39,490.56 is: 59,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,097.28 : 96,192 = 39,490.56 : x
  2. Step 2: Convert to fraction form
    64,097.28/96,192 = 39,490.56/x
  3. Step 3: Cross multiply
    64,097.28x = 96,192 × 39,490.56
  4. Step 4: Simplify right side
    64,097.28x = 3,798,675,947.52
  5. Step 5: Solve for x
    x = 3,798,675,947.52/64,097.28
  6. Step 6: Final answer
    x = 59,264.23

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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.