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Finding the Fourth Proportional to 70,843.24, 97,759.88 and 40,627.10

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Solution

The fourth proportional to 70,843.24, 97,759.88 and 40,627.10 is: 56,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.24 : 97,759.88 = 40,627.10 : x
  2. Step 2: Convert to fraction form
    70,843.24/97,759.88 = 40,627.10/x
  3. Step 3: Cross multiply
    70,843.24x = 97,759.88 × 40,627.10
  4. Step 4: Simplify right side
    70,843.24x = 3,971,700,420.75
  5. Step 5: Solve for x
    x = 3,971,700,420.75/70,843.24
  6. Step 6: Final answer
    x = 56,063.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.