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Finding the Fourth Proportional to 70,894.26, 97,825.19 and 40,675.59

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Solution

The fourth proportional to 70,894.26, 97,825.19 and 40,675.59 is: 56,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.26 : 97,825.19 = 40,675.59 : x
  2. Step 2: Convert to fraction form
    70,894.26/97,825.19 = 40,675.59/x
  3. Step 3: Cross multiply
    70,894.26x = 97,825.19 × 40,675.59
  4. Step 4: Simplify right side
    70,894.26x = 3,979,097,116.73
  5. Step 5: Solve for x
    x = 3,979,097,116.73/70,894.26
  6. Step 6: Final answer
    x = 56,127.21

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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.