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Finding the Fourth Proportional to 65,275.24, 97,915 and 31,073.60

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Solution

The fourth proportional to 65,275.24, 97,915 and 31,073.60 is: 46,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.24 : 97,915 = 31,073.60 : x
  2. Step 2: Convert to fraction form
    65,275.24/97,915 = 31,073.60/x
  3. Step 3: Cross multiply
    65,275.24x = 97,915 × 31,073.60
  4. Step 4: Simplify right side
    65,275.24x = 3,042,571,544
  5. Step 5: Solve for x
    x = 3,042,571,544/65,275.24
  6. Step 6: Final answer
    x = 46,611.42

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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.