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Finding the Fourth Proportional to 65,344.14, 97,971.86 and 33,244.32

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Solution

The fourth proportional to 65,344.14, 97,971.86 and 33,244.32 is: 49,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344.14 : 97,971.86 = 33,244.32 : x
  2. Step 2: Convert to fraction form
    65,344.14/97,971.86 = 33,244.32/x
  3. Step 3: Cross multiply
    65,344.14x = 97,971.86 × 33,244.32
  4. Step 4: Simplify right side
    65,344.14x = 3,257,007,698.61
  5. Step 5: Solve for x
    x = 3,257,007,698.61/65,344.14
  6. Step 6: Final answer
    x = 49,843.91

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1.5x scale

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.