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Finding the Fourth Proportional to 65,544.28, 98,414.88 and 37,496

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Solution

The fourth proportional to 65,544.28, 98,414.88 and 37,496 is: 56,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,544.28 : 98,414.88 = 37,496 : x
  2. Step 2: Convert to fraction form
    65,544.28/98,414.88 = 37,496/x
  3. Step 3: Cross multiply
    65,544.28x = 98,414.88 × 37,496
  4. Step 4: Simplify right side
    65,544.28x = 3,690,164,340.48
  5. Step 5: Solve for x
    x = 3,690,164,340.48/65,544.28
  6. Step 6: Final answer
    x = 56,300.33

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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.