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Finding the Fourth Proportional to 65,496.96, 98,257.32 and 37,448.64

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Solution

The fourth proportional to 65,496.96, 98,257.32 and 37,448.64 is: 56,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,496.96 : 98,257.32 = 37,448.64 : x
  2. Step 2: Convert to fraction form
    65,496.96/98,257.32 = 37,448.64/x
  3. Step 3: Cross multiply
    65,496.96x = 98,257.32 × 37,448.64
  4. Step 4: Simplify right side
    65,496.96x = 3,679,603,004.04
  5. Step 5: Solve for x
    x = 3,679,603,004.04/65,496.96
  6. Step 6: Final answer
    x = 56,179.75

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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.